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

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


Simplifying
2(5 + -1x) = 3(x + 1) + -3
(5 * 2 + -1x * 2) = 3(x + 1) + -3
(10 + -2x) = 3(x + 1) + -3

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

Reorder the terms:
10 + -2x = 3 + -3 + 3x

Combine like terms: 3 + -3 = 0
10 + -2x = 0 + 3x
10 + -2x = 3x

Solving
10 + -2x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -2x + -3x = 3x + -3x

Combine like terms: -2x + -3x = -5x
10 + -5x = 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -5x = 0

Add '-10' to each side of the equation.
10 + -10 + -5x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 0 + -10
-5x = 0 + -10

Combine like terms: 0 + -10 = -10
-5x = -10

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

Simplifying
x = 2

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