4(2x+3)=3(x-6)

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Solution for 4(2x+3)=3(x-6) equation:


Simplifying
4(2x + 3) = 3(x + -6)

Reorder the terms:
4(3 + 2x) = 3(x + -6)
(3 * 4 + 2x * 4) = 3(x + -6)
(12 + 8x) = 3(x + -6)

Reorder the terms:
12 + 8x = 3(-6 + x)
12 + 8x = (-6 * 3 + x * 3)
12 + 8x = (-18 + 3x)

Solving
12 + 8x = -18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 8x + -3x = -18 + 3x + -3x

Combine like terms: 8x + -3x = 5x
12 + 5x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 5x = -18 + 0
12 + 5x = -18

Add '-12' to each side of the equation.
12 + -12 + 5x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = -18 + -12
5x = -18 + -12

Combine like terms: -18 + -12 = -30
5x = -30

Divide each side by '5'.
x = -6

Simplifying
x = -6

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