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

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


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

Reorder the terms:
3(3 + 4x) = 2x + -5(3 + -1x) + 2
(3 * 3 + 4x * 3) = 2x + -5(3 + -1x) + 2
(9 + 12x) = 2x + -5(3 + -1x) + 2
9 + 12x = 2x + (3 * -5 + -1x * -5) + 2
9 + 12x = 2x + (-15 + 5x) + 2

Reorder the terms:
9 + 12x = -15 + 2 + 2x + 5x

Combine like terms: -15 + 2 = -13
9 + 12x = -13 + 2x + 5x

Combine like terms: 2x + 5x = 7x
9 + 12x = -13 + 7x

Solving
9 + 12x = -13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
9 + 12x + -7x = -13 + 7x + -7x

Combine like terms: 12x + -7x = 5x
9 + 5x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + 5x = -13 + 0
9 + 5x = -13

Add '-9' to each side of the equation.
9 + -9 + 5x = -13 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = -13 + -9
5x = -13 + -9

Combine like terms: -13 + -9 = -22
5x = -22

Divide each side by '5'.
x = -4.4

Simplifying
x = -4.4

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