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

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


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

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

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

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

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

Reorder the terms:
-3 + 3x = 4 + -2 + 4x

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

Solving
-3 + 3x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-3 + 3x + -4x = 2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-3 + -1x = 2 + 0
-3 + -1x = 2

Add '3' to each side of the equation.
-3 + 3 + -1x = 2 + 3

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

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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