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

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


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

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

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

Reorder the terms:
-3 + 3x = 5(2 + x) + -3
-3 + 3x = (2 * 5 + x * 5) + -3
-3 + 3x = (10 + 5x) + -3

Reorder the terms:
-3 + 3x = 10 + -3 + 5x

Combine like terms: 10 + -3 = 7
-3 + 3x = 7 + 5x

Solving
-3 + 3x = 7 + 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 = 7 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-3 + -2x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -2x = 7 + 0
-3 + -2x = 7

Add '3' to each side of the equation.
-3 + 3 + -2x = 7 + 3

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

Combine like terms: 7 + 3 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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