5+3(-2x+2)=6-4(x+1)

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Solution for 5+3(-2x+2)=6-4(x+1) equation: 


Simplifying
5 + 3(-2x + 2) = 6 + -4(x + 1)

Reorder the terms:
5 + 3(2 + -2x) = 6 + -4(x + 1)
5 + (2 * 3 + -2x * 3) = 6 + -4(x + 1)
5 + (6 + -6x) = 6 + -4(x + 1)

Combine like terms: 5 + 6 = 11
11 + -6x = 6 + -4(x + 1)

Reorder the terms:
11 + -6x = 6 + -4(1 + x)
11 + -6x = 6 + (1 * -4 + x * -4)
11 + -6x = 6 + (-4 + -4x)

Combine like terms: 6 + -4 = 2
11 + -6x = 2 + -4x

Solving
11 + -6x = 2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
11 + -6x + 4x = 2 + -4x + 4x

Combine like terms: -6x + 4x = -2x
11 + -2x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
11 + -2x = 2 + 0
11 + -2x = 2

Add '-11' to each side of the equation.
11 + -11 + -2x = 2 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 2 + -11
-2x = 2 + -11

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

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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