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

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


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

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

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

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

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

Solving
-3 + 3x = -5 + 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.
-3 + 3x + -5x = -5 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-3 + -2x = -5 + 0
-3 + -2x = -5

Add '3' to each side of the equation.
-3 + 3 + -2x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = -5 + 3
-2x = -5 + 3

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

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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