3(x+4)+5x-7=6+2x-2(x-4)

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Solution for 3(x+4)+5x-7=6+2x-2(x-4) equation:


Simplifying
3(x + 4) + 5x + -7 = 6 + 2x + -2(x + -4)

Reorder the terms:
3(4 + x) + 5x + -7 = 6 + 2x + -2(x + -4)
(4 * 3 + x * 3) + 5x + -7 = 6 + 2x + -2(x + -4)
(12 + 3x) + 5x + -7 = 6 + 2x + -2(x + -4)

Reorder the terms:
12 + -7 + 3x + 5x = 6 + 2x + -2(x + -4)

Combine like terms: 12 + -7 = 5
5 + 3x + 5x = 6 + 2x + -2(x + -4)

Combine like terms: 3x + 5x = 8x
5 + 8x = 6 + 2x + -2(x + -4)

Reorder the terms:
5 + 8x = 6 + 2x + -2(-4 + x)
5 + 8x = 6 + 2x + (-4 * -2 + x * -2)
5 + 8x = 6 + 2x + (8 + -2x)

Reorder the terms:
5 + 8x = 6 + 8 + 2x + -2x

Combine like terms: 6 + 8 = 14
5 + 8x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 8x = 14 + 0
5 + 8x = 14

Solving
5 + 8x = 14

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 8x = 14 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = 14 + -5
8x = 14 + -5

Combine like terms: 14 + -5 = 9
8x = 9

Divide each side by '8'.
x = 1.125

Simplifying
x = 1.125

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