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

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


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

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

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

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

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

Solving
-2 + 3x = 8 + 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.
-2 + 3x + -4x = 8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-2 + -1x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -1x = 8 + 0
-2 + -1x = 8

Add '2' to each side of the equation.
-2 + 2 + -1x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 8 + 2
-1x = 8 + 2

Combine like terms: 8 + 2 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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