5(2x+21)=7(8x-31)

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Solution for 5(2x+21)=7(8x-31) equation:


Simplifying
5(2x + 21) = 7(8x + -31)

Reorder the terms:
5(21 + 2x) = 7(8x + -31)
(21 * 5 + 2x * 5) = 7(8x + -31)
(105 + 10x) = 7(8x + -31)

Reorder the terms:
105 + 10x = 7(-31 + 8x)
105 + 10x = (-31 * 7 + 8x * 7)
105 + 10x = (-217 + 56x)

Solving
105 + 10x = -217 + 56x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-56x' to each side of the equation.
105 + 10x + -56x = -217 + 56x + -56x

Combine like terms: 10x + -56x = -46x
105 + -46x = -217 + 56x + -56x

Combine like terms: 56x + -56x = 0
105 + -46x = -217 + 0
105 + -46x = -217

Add '-105' to each side of the equation.
105 + -105 + -46x = -217 + -105

Combine like terms: 105 + -105 = 0
0 + -46x = -217 + -105
-46x = -217 + -105

Combine like terms: -217 + -105 = -322
-46x = -322

Divide each side by '-46'.
x = 7

Simplifying
x = 7

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