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

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


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

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

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

Solving
-10 + 10x = 11 + 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 + 10x + -3x = 11 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-10 + 7x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 7x = 11 + 0
-10 + 7x = 11

Add '10' to each side of the equation.
-10 + 10 + 7x = 11 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = 11 + 10
7x = 11 + 10

Combine like terms: 11 + 10 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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