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

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


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

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

Combine like terms: 2x + 2x = 4x
-11 + 4x = 5(2x + -3) + 2

Reorder the terms:
-11 + 4x = 5(-3 + 2x) + 2
-11 + 4x = (-3 * 5 + 2x * 5) + 2
-11 + 4x = (-15 + 10x) + 2

Reorder the terms:
-11 + 4x = -15 + 2 + 10x

Combine like terms: -15 + 2 = -13
-11 + 4x = -13 + 10x

Solving
-11 + 4x = -13 + 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.
-11 + 4x + -10x = -13 + 10x + -10x

Combine like terms: 4x + -10x = -6x
-11 + -6x = -13 + 10x + -10x

Combine like terms: 10x + -10x = 0
-11 + -6x = -13 + 0
-11 + -6x = -13

Add '11' to each side of the equation.
-11 + 11 + -6x = -13 + 11

Combine like terms: -11 + 11 = 0
0 + -6x = -13 + 11
-6x = -13 + 11

Combine like terms: -13 + 11 = -2
-6x = -2

Divide each side by '-6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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