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

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


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

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

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

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

Combine like terms: x + 8x = 9x
3 + 9x = 12 + -8x + 8x

Combine like terms: -8x + 8x = 0
3 + 9x = 12 + 0
3 + 9x = 12

Add '-3' to each side of the equation.
3 + -3 + 9x = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 9x = 12 + -3
9x = 12 + -3

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

Divide each side by '9'.
x = 1

Simplifying
x = 1

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