2(3x+2)=5x+11x-12

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Solution for 2(3x+2)=5x+11x-12 equation:


Simplifying
2(3x + 2) = 5x + 11x + -12

Reorder the terms:
2(2 + 3x) = 5x + 11x + -12
(2 * 2 + 3x * 2) = 5x + 11x + -12
(4 + 6x) = 5x + 11x + -12

Reorder the terms:
4 + 6x = -12 + 5x + 11x

Combine like terms: 5x + 11x = 16x
4 + 6x = -12 + 16x

Solving
4 + 6x = -12 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
4 + 6x + -16x = -12 + 16x + -16x

Combine like terms: 6x + -16x = -10x
4 + -10x = -12 + 16x + -16x

Combine like terms: 16x + -16x = 0
4 + -10x = -12 + 0
4 + -10x = -12

Add '-4' to each side of the equation.
4 + -4 + -10x = -12 + -4

Combine like terms: 4 + -4 = 0
0 + -10x = -12 + -4
-10x = -12 + -4

Combine like terms: -12 + -4 = -16
-10x = -16

Divide each side by '-10'.
x = 1.6

Simplifying
x = 1.6

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