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

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


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

Reorder the terms:
3(3 + -1x) = 4x + -2(x + 1)
(3 * 3 + -1x * 3) = 4x + -2(x + 1)
(9 + -3x) = 4x + -2(x + 1)

Reorder the terms:
9 + -3x = 4x + -2(1 + x)
9 + -3x = 4x + (1 * -2 + x * -2)
9 + -3x = 4x + (-2 + -2x)

Reorder the terms:
9 + -3x = -2 + 4x + -2x

Combine like terms: 4x + -2x = 2x
9 + -3x = -2 + 2x

Solving
9 + -3x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + -3x + -2x = -2 + 2x + -2x

Combine like terms: -3x + -2x = -5x
9 + -5x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -5x = -2 + 0
9 + -5x = -2

Add '-9' to each side of the equation.
9 + -9 + -5x = -2 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -2 + -9
-5x = -2 + -9

Combine like terms: -2 + -9 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2

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