2(5x-8)+3=11-2x

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Solution for 2(5x-8)+3=11-2x equation:


Simplifying
2(5x + -8) + 3 = 11 + -2x

Reorder the terms:
2(-8 + 5x) + 3 = 11 + -2x
(-8 * 2 + 5x * 2) + 3 = 11 + -2x
(-16 + 10x) + 3 = 11 + -2x

Reorder the terms:
-16 + 3 + 10x = 11 + -2x

Combine like terms: -16 + 3 = -13
-13 + 10x = 11 + -2x

Solving
-13 + 10x = 11 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-13 + 10x + 2x = 11 + -2x + 2x

Combine like terms: 10x + 2x = 12x
-13 + 12x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
-13 + 12x = 11 + 0
-13 + 12x = 11

Add '13' to each side of the equation.
-13 + 13 + 12x = 11 + 13

Combine like terms: -13 + 13 = 0
0 + 12x = 11 + 13
12x = 11 + 13

Combine like terms: 11 + 13 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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