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

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


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

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

Combine like terms: -2 + 4 = 2
3(2 + 6x) = 5(2x + -7 + 7)
(2 * 3 + 6x * 3) = 5(2x + -7 + 7)
(6 + 18x) = 5(2x + -7 + 7)

Reorder the terms:
6 + 18x = 5(-7 + 7 + 2x)

Combine like terms: -7 + 7 = 0
6 + 18x = 5(0 + 2x)
6 + 18x = 5(2x)

Remove parenthesis around (2x)
6 + 18x = 5 * 2x

Multiply 5 * 2
6 + 18x = 10x

Solving
6 + 18x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 18x + -10x = 10x + -10x

Combine like terms: 18x + -10x = 8x
6 + 8x = 10x + -10x

Combine like terms: 10x + -10x = 0
6 + 8x = 0

Add '-6' to each side of the equation.
6 + -6 + 8x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 0 + -6
8x = 0 + -6

Combine like terms: 0 + -6 = -6
8x = -6

Divide each side by '8'.
x = -0.75

Simplifying
x = -0.75

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