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

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


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

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

Reorder the terms:
12 + 6x = -5(-3 + 4x) + 2x
12 + 6x = (-3 * -5 + 4x * -5) + 2x
12 + 6x = (15 + -20x) + 2x

Combine like terms: -20x + 2x = -18x
12 + 6x = 15 + -18x

Solving
12 + 6x = 15 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
12 + 6x + 18x = 15 + -18x + 18x

Combine like terms: 6x + 18x = 24x
12 + 24x = 15 + -18x + 18x

Combine like terms: -18x + 18x = 0
12 + 24x = 15 + 0
12 + 24x = 15

Add '-12' to each side of the equation.
12 + -12 + 24x = 15 + -12

Combine like terms: 12 + -12 = 0
0 + 24x = 15 + -12
24x = 15 + -12

Combine like terms: 15 + -12 = 3
24x = 3

Divide each side by '24'.
x = 0.125

Simplifying
x = 0.125

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