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

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


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

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

Combine like terms: 3x + -3x = 0
-10 + -1x = 0

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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