4(8-2x)+7=2(x+8)-7

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Solution for 4(8-2x)+7=2(x+8)-7 equation:


Simplifying
4(8 + -2x) + 7 = 2(x + 8) + -7
(8 * 4 + -2x * 4) + 7 = 2(x + 8) + -7
(32 + -8x) + 7 = 2(x + 8) + -7

Reorder the terms:
32 + 7 + -8x = 2(x + 8) + -7

Combine like terms: 32 + 7 = 39
39 + -8x = 2(x + 8) + -7

Reorder the terms:
39 + -8x = 2(8 + x) + -7
39 + -8x = (8 * 2 + x * 2) + -7
39 + -8x = (16 + 2x) + -7

Reorder the terms:
39 + -8x = 16 + -7 + 2x

Combine like terms: 16 + -7 = 9
39 + -8x = 9 + 2x

Solving
39 + -8x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
39 + -8x + -2x = 9 + 2x + -2x

Combine like terms: -8x + -2x = -10x
39 + -10x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
39 + -10x = 9 + 0
39 + -10x = 9

Add '-39' to each side of the equation.
39 + -39 + -10x = 9 + -39

Combine like terms: 39 + -39 = 0
0 + -10x = 9 + -39
-10x = 9 + -39

Combine like terms: 9 + -39 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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