4(x-3)+8=-3(3-3x)

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Solution for 4(x-3)+8=-3(3-3x) equation:


Simplifying
4(x + -3) + 8 = -3(3 + -3x)

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

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

Combine like terms: -12 + 8 = -4
-4 + 4x = -3(3 + -3x)
-4 + 4x = (3 * -3 + -3x * -3)
-4 + 4x = (-9 + 9x)

Solving
-4 + 4x = -9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-4 + 4x + -9x = -9 + 9x + -9x

Combine like terms: 4x + -9x = -5x
-4 + -5x = -9 + 9x + -9x

Combine like terms: 9x + -9x = 0
-4 + -5x = -9 + 0
-4 + -5x = -9

Add '4' to each side of the equation.
-4 + 4 + -5x = -9 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = -9 + 4
-5x = -9 + 4

Combine like terms: -9 + 4 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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