4(2x-8)-7=4(x-4)+5

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Solution for 4(2x-8)-7=4(x-4)+5 equation:


Simplifying
4(2x + -8) + -7 = 4(x + -4) + 5

Reorder the terms:
4(-8 + 2x) + -7 = 4(x + -4) + 5
(-8 * 4 + 2x * 4) + -7 = 4(x + -4) + 5
(-32 + 8x) + -7 = 4(x + -4) + 5

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

Combine like terms: -32 + -7 = -39
-39 + 8x = 4(x + -4) + 5

Reorder the terms:
-39 + 8x = 4(-4 + x) + 5
-39 + 8x = (-4 * 4 + x * 4) + 5
-39 + 8x = (-16 + 4x) + 5

Reorder the terms:
-39 + 8x = -16 + 5 + 4x

Combine like terms: -16 + 5 = -11
-39 + 8x = -11 + 4x

Solving
-39 + 8x = -11 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-39 + 8x + -4x = -11 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-39 + 4x = -11 + 4x + -4x

Combine like terms: 4x + -4x = 0
-39 + 4x = -11 + 0
-39 + 4x = -11

Add '39' to each side of the equation.
-39 + 39 + 4x = -11 + 39

Combine like terms: -39 + 39 = 0
0 + 4x = -11 + 39
4x = -11 + 39

Combine like terms: -11 + 39 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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