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

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


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

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

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

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

Reorder the terms:
-1 + 3x = -2 + 5(-3 + x)
-1 + 3x = -2 + (-3 * 5 + x * 5)
-1 + 3x = -2 + (-15 + 5x)

Combine like terms: -2 + -15 = -17
-1 + 3x = -17 + 5x

Solving
-1 + 3x = -17 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-1 + 3x + -5x = -17 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-1 + -2x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + -2x = -17 + 0
-1 + -2x = -17

Add '1' to each side of the equation.
-1 + 1 + -2x = -17 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = -17 + 1
-2x = -17 + 1

Combine like terms: -17 + 1 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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