4(x+4)=11-(8x-137)

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Solution for 4(x+4)=11-(8x-137) equation: 


Simplifying
4(x + 4) = 11 + -1(8x + -137)

Reorder the terms:
4(4 + x) = 11 + -1(8x + -137)
(4 * 4 + x * 4) = 11 + -1(8x + -137)
(16 + 4x) = 11 + -1(8x + -137)

Reorder the terms:
16 + 4x = 11 + -1(-137 + 8x)
16 + 4x = 11 + (-137 * -1 + 8x * -1)
16 + 4x = 11 + (137 + -8x)

Combine like terms: 11 + 137 = 148
16 + 4x = 148 + -8x

Solving
16 + 4x = 148 + -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.
16 + 4x + 8x = 148 + -8x + 8x

Combine like terms: 4x + 8x = 12x
16 + 12x = 148 + -8x + 8x

Combine like terms: -8x + 8x = 0
16 + 12x = 148 + 0
16 + 12x = 148

Add '-16' to each side of the equation.
16 + -16 + 12x = 148 + -16

Combine like terms: 16 + -16 = 0
0 + 12x = 148 + -16
12x = 148 + -16

Combine like terms: 148 + -16 = 132
12x = 132

Divide each side by '12'.
x = 11

Simplifying
x = 11

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