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

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


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

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

Reorder the terms:
4 + 4x = 5(5 + 3x)
4 + 4x = (5 * 5 + 3x * 5)
4 + 4x = (25 + 15x)

Solving
4 + 4x = 25 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
4 + 4x + -15x = 25 + 15x + -15x

Combine like terms: 4x + -15x = -11x
4 + -11x = 25 + 15x + -15x

Combine like terms: 15x + -15x = 0
4 + -11x = 25 + 0
4 + -11x = 25

Add '-4' to each side of the equation.
4 + -4 + -11x = 25 + -4

Combine like terms: 4 + -4 = 0
0 + -11x = 25 + -4
-11x = 25 + -4

Combine like terms: 25 + -4 = 21
-11x = 21

Divide each side by '-11'.
x = -1.909090909

Simplifying
x = -1.909090909

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