Question
Solve the equation
Solve for x
x=9
Evaluate
10(x+4)−3=14x+1
Move the expression to the left side
10(x+4)−3−(14x+1)=0
Subtract the terms
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Evaluate
10(x+4)−3−(14x+1)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
10(x+4)−3−14x−1
Subtract the numbers
10(x+4)−4−14x
10(x+4)−4−14x=0
Calculate
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Evaluate
10(x+4)−4−14x
Expand the expression
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Calculate
10(x+4)
Apply the distributive property
10x+10×4
Multiply the numbers
10x+40
10x+40−4−14x
Subtract the terms
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Evaluate
10x−14x
Collect like terms by calculating the sum or difference of their coefficients
(10−14)x
Subtract the numbers
−4x
−4x+40−4
Subtract the numbers
−4x+36
−4x+36=0
Move the constant to the right-hand side and change its sign
−4x=0−36
Removing 0 doesn't change the value,so remove it from the expression
−4x=−36
Change the signs on both sides of the equation
4x=36
Divide both sides
44x=436
Divide the numbers
x=436
Solution
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Evaluate
436
Reduce the numbers
19
Calculate
9
x=9
Show Solution
Rewrite the equation
Rewrite in standard form
x=9
Evaluate
10(x+4)−3=14x+1
Evaluate
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Evaluate
10(x+4)−3
Expand the expression
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Calculate
10(x+4)
Apply the distributive property
10x+10×4
Multiply the numbers
10x+40
10x+40−3
Subtract the numbers
10x+37
10x+37=14x+1
Move the variable to the left side
−4x+37=1
Move the constant to the right side
−4x=−36
Multiply both sides
4x=36
Solution
x=9
Show Solution