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

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


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

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

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

Combine like terms: -6 + 4 = -2
-2 + 3x = 2(x + 1) + -5

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

Reorder the terms:
-2 + 3x = 2 + -5 + 2x

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

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

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

Combine like terms: 2x + -2x = 0
-2 + 1x = -3 + 0
-2 + 1x = -3

Add '2' to each side of the equation.
-2 + 2 + 1x = -3 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = -3 + 2
1x = -3 + 2

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

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

Simplifying
x = -1

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