2(x-3)=5(x+1)-11

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Solution for 2(x-3)=5(x+1)-11 equation:


Simplifying
2(x + -3) = 5(x + 1) + -11

Reorder the terms:
2(-3 + x) = 5(x + 1) + -11
(-3 * 2 + x * 2) = 5(x + 1) + -11
(-6 + 2x) = 5(x + 1) + -11

Reorder the terms:
-6 + 2x = 5(1 + x) + -11
-6 + 2x = (1 * 5 + x * 5) + -11
-6 + 2x = (5 + 5x) + -11

Reorder the terms:
-6 + 2x = 5 + -11 + 5x

Combine like terms: 5 + -11 = -6
-6 + 2x = -6 + 5x

Add '6' to each side of the equation.
-6 + 6 + 2x = -6 + 6 + 5x

Combine like terms: -6 + 6 = 0
0 + 2x = -6 + 6 + 5x
2x = -6 + 6 + 5x

Combine like terms: -6 + 6 = 0
2x = 0 + 5x
2x = 5x

Solving
2x = 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.
2x + -5x = 5x + -5x

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

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

Divide each side by '-3'.
x = 0

Simplifying
x = 0

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