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

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


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

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

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

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

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

Solving
12 + 12x = -9 + -13x

Solving for variable 'x'.

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

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

Combine like terms: 12x + 13x = 25x
12 + 25x = -9 + -13x + 13x

Combine like terms: -13x + 13x = 0
12 + 25x = -9 + 0
12 + 25x = -9

Add '-12' to each side of the equation.
12 + -12 + 25x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + 25x = -9 + -12
25x = -9 + -12

Combine like terms: -9 + -12 = -21
25x = -21

Divide each side by '25'.
x = -0.84

Simplifying
x = -0.84

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