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

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


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

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

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

Solving
-4 + 4x = 15 + 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.
-4 + 4x + -3x = 15 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-4 + 1x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 1x = 15 + 0
-4 + 1x = 15

Add '4' to each side of the equation.
-4 + 4 + 1x = 15 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 15 + 4
1x = 15 + 4

Combine like terms: 15 + 4 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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