2x-(x+1)=-4+3(x-7)

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Solution for 2x-(x+1)=-4+3(x-7) equation:


Simplifying
2x + -1(x + 1) = -4 + 3(x + -7)

Reorder the terms:
2x + -1(1 + x) = -4 + 3(x + -7)
2x + (1 * -1 + x * -1) = -4 + 3(x + -7)
2x + (-1 + -1x) = -4 + 3(x + -7)

Reorder the terms:
-1 + 2x + -1x = -4 + 3(x + -7)

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

Reorder the terms:
-1 + 1x = -4 + 3(-7 + x)
-1 + 1x = -4 + (-7 * 3 + x * 3)
-1 + 1x = -4 + (-21 + 3x)

Combine like terms: -4 + -21 = -25
-1 + 1x = -25 + 3x

Solving
-1 + 1x = -25 + 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.
-1 + 1x + -3x = -25 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-1 + -2x = -25 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -2x = -25 + 0
-1 + -2x = -25

Add '1' to each side of the equation.
-1 + 1 + -2x = -25 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = -25 + 1
-2x = -25 + 1

Combine like terms: -25 + 1 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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