5x-7=8(4-x)

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Solution for 5x-7=8(4-x) equation:


Simplifying
5x + -7 = 8(4 + -1x)

Reorder the terms:
-7 + 5x = 8(4 + -1x)
-7 + 5x = (4 * 8 + -1x * 8)
-7 + 5x = (32 + -8x)

Solving
-7 + 5x = 32 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-7 + 5x + 8x = 32 + -8x + 8x

Combine like terms: 5x + 8x = 13x
-7 + 13x = 32 + -8x + 8x

Combine like terms: -8x + 8x = 0
-7 + 13x = 32 + 0
-7 + 13x = 32

Add '7' to each side of the equation.
-7 + 7 + 13x = 32 + 7

Combine like terms: -7 + 7 = 0
0 + 13x = 32 + 7
13x = 32 + 7

Combine like terms: 32 + 7 = 39
13x = 39

Divide each side by '13'.
x = 3

Simplifying
x = 3

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