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

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


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

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

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

Combine like terms: 6 + 1 = 7
7 + -3x = 2(4 + -1x) + -1
7 + -3x = (4 * 2 + -1x * 2) + -1
7 + -3x = (8 + -2x) + -1

Reorder the terms:
7 + -3x = 8 + -1 + -2x

Combine like terms: 8 + -1 = 7
7 + -3x = 7 + -2x

Add '-7' to each side of the equation.
7 + -7 + -3x = 7 + -7 + -2x

Combine like terms: 7 + -7 = 0
0 + -3x = 7 + -7 + -2x
-3x = 7 + -7 + -2x

Combine like terms: 7 + -7 = 0
-3x = 0 + -2x
-3x = -2x

Solving
-3x = -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.
-3x + 2x = -2x + 2x

Combine like terms: -3x + 2x = -1x
-1x = -2x + 2x

Combine like terms: -2x + 2x = 0
-1x = 0

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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