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

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


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

Reorder the terms:
4(4 + 3x) = 2x + -3(5x + 3)
(4 * 4 + 3x * 4) = 2x + -3(5x + 3)
(16 + 12x) = 2x + -3(5x + 3)

Reorder the terms:
16 + 12x = 2x + -3(3 + 5x)
16 + 12x = 2x + (3 * -3 + 5x * -3)
16 + 12x = 2x + (-9 + -15x)

Reorder the terms:
16 + 12x = -9 + 2x + -15x

Combine like terms: 2x + -15x = -13x
16 + 12x = -9 + -13x

Solving
16 + 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.
16 + 12x + 13x = -9 + -13x + 13x

Combine like terms: 12x + 13x = 25x
16 + 25x = -9 + -13x + 13x

Combine like terms: -13x + 13x = 0
16 + 25x = -9 + 0
16 + 25x = -9

Add '-16' to each side of the equation.
16 + -16 + 25x = -9 + -16

Combine like terms: 16 + -16 = 0
0 + 25x = -9 + -16
25x = -9 + -16

Combine like terms: -9 + -16 = -25
25x = -25

Divide each side by '25'.
x = -1

Simplifying
x = -1

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