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

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


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

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

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

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

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

Combine like terms: 1 + 6 = 7
4 + 1x = 7 + 3x

Solving
4 + 1x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 1x + -3x = 7 + 3x + -3x

Combine like terms: 1x + -3x = -2x
4 + -2x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -2x = 7 + 0
4 + -2x = 7

Add '-4' to each side of the equation.
4 + -4 + -2x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 7 + -4
-2x = 7 + -4

Combine like terms: 7 + -4 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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