3*(x-1)=-4*(2x+3)

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Solution for 3*(x-1)=-4*(2x+3) equation:


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

Reorder the terms:
3(-1 + x) = -4(2x + 3)
(-1 * 3 + x * 3) = -4(2x + 3)
(-3 + 3x) = -4(2x + 3)

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

Solving
-3 + 3x = -12 + -8x

Solving for variable 'x'.

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

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

Combine like terms: 3x + 8x = 11x
-3 + 11x = -12 + -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + 11x = -12 + 0
-3 + 11x = -12

Add '3' to each side of the equation.
-3 + 3 + 11x = -12 + 3

Combine like terms: -3 + 3 = 0
0 + 11x = -12 + 3
11x = -12 + 3

Combine like terms: -12 + 3 = -9
11x = -9

Divide each side by '11'.
x = -0.8181818182

Simplifying
x = -0.8181818182

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