16(x-7)=(2x-2)*4

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Solution for 16(x-7)=(2x-2)*4 equation:


Simplifying
16(x + -7) = (2x + -2) * 4

Reorder the terms:
16(-7 + x) = (2x + -2) * 4
(-7 * 16 + x * 16) = (2x + -2) * 4
(-112 + 16x) = (2x + -2) * 4

Reorder the terms:
-112 + 16x = (-2 + 2x) * 4

Reorder the terms for easier multiplication:
-112 + 16x = 4(-2 + 2x)
-112 + 16x = (-2 * 4 + 2x * 4)
-112 + 16x = (-8 + 8x)

Solving
-112 + 16x = -8 + 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.
-112 + 16x + -8x = -8 + 8x + -8x

Combine like terms: 16x + -8x = 8x
-112 + 8x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-112 + 8x = -8 + 0
-112 + 8x = -8

Add '112' to each side of the equation.
-112 + 112 + 8x = -8 + 112

Combine like terms: -112 + 112 = 0
0 + 8x = -8 + 112
8x = -8 + 112

Combine like terms: -8 + 112 = 104
8x = 104

Divide each side by '8'.
x = 13

Simplifying
x = 13

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