3(x+4)=-2(8x-1)+5x

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Solution for 3(x+4)=-2(8x-1)+5x equation:


Simplifying
3(x + 4) = -2(8x + -1) + 5x

Reorder the terms:
3(4 + x) = -2(8x + -1) + 5x
(4 * 3 + x * 3) = -2(8x + -1) + 5x
(12 + 3x) = -2(8x + -1) + 5x

Reorder the terms:
12 + 3x = -2(-1 + 8x) + 5x
12 + 3x = (-1 * -2 + 8x * -2) + 5x
12 + 3x = (2 + -16x) + 5x

Combine like terms: -16x + 5x = -11x
12 + 3x = 2 + -11x

Solving
12 + 3x = 2 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
12 + 3x + 11x = 2 + -11x + 11x

Combine like terms: 3x + 11x = 14x
12 + 14x = 2 + -11x + 11x

Combine like terms: -11x + 11x = 0
12 + 14x = 2 + 0
12 + 14x = 2

Add '-12' to each side of the equation.
12 + -12 + 14x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 14x = 2 + -12
14x = 2 + -12

Combine like terms: 2 + -12 = -10
14x = -10

Divide each side by '14'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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