Question
Solve the equation
x=1423
Alternative Form
x=1.64˙28571˙
Evaluate
2(x−7)×1=5(x−2)×6
Multiply the terms
2(x−7)=5(x−2)×6
Multiply the terms
2(x−7)=30(x−2)
Calculate
More Steps

Evaluate
2(x−7)
Apply the distributive property
2x−2×7
Multiply the numbers
2x−14
2x−14=30(x−2)
Calculate
More Steps

Evaluate
30(x−2)
Apply the distributive property
30x−30×2
Multiply the numbers
30x−60
2x−14=30x−60
Move the expression to the left side
2x−14−(30x−60)=0
Calculate
More Steps

Add the terms
2x−14−(30x−60)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
2x−14−30x+60
Subtract the terms
More Steps

Evaluate
2x−30x
Collect like terms by calculating the sum or difference of their coefficients
(2−30)x
Subtract the numbers
−28x
−28x−14+60
Add the numbers
−28x+46
−28x+46=0
Move the constant to the right-hand side and change its sign
−28x=0−46
Removing 0 doesn't change the value,so remove it from the expression
−28x=−46
Change the signs on both sides of the equation
28x=46
Divide both sides
2828x=2846
Divide the numbers
x=2846
Solution
x=1423
Alternative Form
x=1.64˙28571˙
Show Solution

Rewrite the equation
14x=23
Evaluate
2(x−7)×1=5(x−2)×6
Evaluate
2(x−7)=5(x−2)×6
Evaluate
2(x−7)=30(x−2)
Multiply
More Steps

Evaluate
2(x−7)
Apply the distributive property
2x−2×7
Multiply the numbers
2x−14
2x−14=30(x−2)
Multiply
More Steps

Evaluate
30(x−2)
Apply the distributive property
30x−30×2
Multiply the numbers
30x−60
2x−14=30x−60
Move the variable to the left side
−28x−14=−60
Move the constant to the right side
−28x=−46
Multiply both sides
28x=46
Solution
14x=23
Show Solution
