8(x+4)-4x-4x=2(2x+3)-14

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Solution for 8(x+4)-4x-4x=2(2x+3)-14 equation:


Simplifying
8(x + 4) + -4x + -4x = 2(2x + 3) + -14

Reorder the terms:
8(4 + x) + -4x + -4x = 2(2x + 3) + -14
(4 * 8 + x * 8) + -4x + -4x = 2(2x + 3) + -14
(32 + 8x) + -4x + -4x = 2(2x + 3) + -14

Combine like terms: 8x + -4x = 4x
32 + 4x + -4x = 2(2x + 3) + -14

Combine like terms: 4x + -4x = 0
32 + 0 = 2(2x + 3) + -14
32 = 2(2x + 3) + -14

Reorder the terms:
32 = 2(3 + 2x) + -14
32 = (3 * 2 + 2x * 2) + -14
32 = (6 + 4x) + -14

Reorder the terms:
32 = 6 + -14 + 4x

Combine like terms: 6 + -14 = -8
32 = -8 + 4x

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

Combine like terms: 4x + -4x = 0
32 + -4x = -8 + 0
32 + -4x = -8

Add '-32' to each side of the equation.
32 + -32 + -4x = -8 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = -8 + -32
-4x = -8 + -32

Combine like terms: -8 + -32 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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