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

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


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

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

Reorder the terms:
-3 + 3x = 4(2 + x) + 2
-3 + 3x = (2 * 4 + x * 4) + 2
-3 + 3x = (8 + 4x) + 2

Reorder the terms:
-3 + 3x = 8 + 2 + 4x

Combine like terms: 8 + 2 = 10
-3 + 3x = 10 + 4x

Solving
-3 + 3x = 10 + 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.
-3 + 3x + -4x = 10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-3 + -1x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -1x = 10 + 0
-3 + -1x = 10

Add '3' to each side of the equation.
-3 + 3 + -1x = 10 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 10 + 3
-1x = 10 + 3

Combine like terms: 10 + 3 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

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