Solve 7x+3-5x+8+4x-1

Question

Simplify the expression

6 x + 10

Evaluate

7 x + 3 - 5 x + 8 + 4 x - 1

Calculate the sum or difference

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Evaluate

7 x - 5 x + 4 x

Collect like terms by calculating the sum or difference of their coefficients

(7 - 5 + 4) x

Calculate the sum or difference

6 x

6 x + 3 + 8 - 1

Solution

6 x + 10

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Factor the expression

2 (3 x + 5)

Evaluate

7 x + 3 - 5 x + 8 + 4 x - 1

Subtract the terms

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Simplify

7 x + 3 - 5 x

Subtract the terms

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Evaluate

7 x - 5 x

Collect like terms by calculating the sum or difference of their coefficients

(7 - 5) x

Subtract the numbers

2 x

2 x + 3

2 x + 3 + 8 + 4 x - 1

Add the terms

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Evaluate

2 x + 3 + 8 + 4 x

Add the terms

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Evaluate

2 x + 4 x

Collect like terms by calculating the sum or difference of their coefficients

(2 + 4) x

Add the numbers

6 x

6 x + 3 + 8

Add the numbers

6 x + 11

6 x + 11 - 1

Subtract the numbers

6 x + 10

Solution

2 (3 x + 5)

Show Solution

Find the roots

x = - \frac{5}{3}

Alternative Form

x = - 1. \dot{6}

Evaluate

7 x + 3 - 5 x + 8 + 4 x - 1

To find the roots of the expression,set the expression equal to 0

7 x + 3 - 5 x + 8 + 4 x - 1 = 0

Subtract the terms

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Simplify

7 x + 3 - 5 x

Subtract the terms

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Evaluate

7 x - 5 x

Collect like terms by calculating the sum or difference of their coefficients

(7 - 5) x

Subtract the numbers

2 x

2 x + 3

2 x + 3 + 8 + 4 x - 1 = 0

Add the terms

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Evaluate

2 x + 3 + 8 + 4 x

Add the terms

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Evaluate

2 x + 4 x

Collect like terms by calculating the sum or difference of their coefficients

(2 + 4) x

Add the numbers

6 x

6 x + 3 + 8

Add the numbers

6 x + 11

6 x + 11 - 1 = 0

Subtract the numbers

6 x + 10 = 0

Move the constant to the right-hand side and change its sign

6 x = 0 - 10

Removing 0 doesn't change the value,so remove it from the expression

6 x = - 10

Divide both sides

\frac{6 x}{6} = \frac{- 10}{6}

Divide the numbers

x = \frac{- 10}{6}

Solution

More Steps

Evaluate

\frac{- 10}{6}

Cancel out the common factor 2

\frac{- 5}{3}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{5}{3}

x = - \frac{5}{3}

Alternative Form

x = - 1. \dot{6}

Show Solution