(8x+32)=2x+4(x+4)-10x

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Solution for (8x+32)=2x+4(x+4)-10x equation:


Simplifying
(8x + 32) = 2x + 4(x + 4) + -10x

Reorder the terms:
(32 + 8x) = 2x + 4(x + 4) + -10x

Remove parenthesis around (32 + 8x)
32 + 8x = 2x + 4(x + 4) + -10x

Reorder the terms:
32 + 8x = 2x + 4(4 + x) + -10x
32 + 8x = 2x + (4 * 4 + x * 4) + -10x
32 + 8x = 2x + (16 + 4x) + -10x

Reorder the terms:
32 + 8x = 16 + 2x + 4x + -10x

Combine like terms: 2x + 4x = 6x
32 + 8x = 16 + 6x + -10x

Combine like terms: 6x + -10x = -4x
32 + 8x = 16 + -4x

Solving
32 + 8x = 16 + -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.
32 + 8x + 4x = 16 + -4x + 4x

Combine like terms: 8x + 4x = 12x
32 + 12x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
32 + 12x = 16 + 0
32 + 12x = 16

Add '-32' to each side of the equation.
32 + -32 + 12x = 16 + -32

Combine like terms: 32 + -32 = 0
0 + 12x = 16 + -32
12x = 16 + -32

Combine like terms: 16 + -32 = -16
12x = -16

Divide each side by '12'.
x = -1.333333333

Simplifying
x = -1.333333333

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