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

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


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

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

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

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

Reorder the terms:
-2 + 1x = 5(-3 + 2x) + -5
-2 + 1x = (-3 * 5 + 2x * 5) + -5
-2 + 1x = (-15 + 10x) + -5

Reorder the terms:
-2 + 1x = -15 + -5 + 10x

Combine like terms: -15 + -5 = -20
-2 + 1x = -20 + 10x

Solving
-2 + 1x = -20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-2 + 1x + -10x = -20 + 10x + -10x

Combine like terms: 1x + -10x = -9x
-2 + -9x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-2 + -9x = -20 + 0
-2 + -9x = -20

Add '2' to each side of the equation.
-2 + 2 + -9x = -20 + 2

Combine like terms: -2 + 2 = 0
0 + -9x = -20 + 2
-9x = -20 + 2

Combine like terms: -20 + 2 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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