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

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


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

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

Reorder the terms:
10 + 4x = -3 + 5x

Solving
10 + 4x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + 4x + -5x = -3 + 5x + -5x

Combine like terms: 4x + -5x = -1x
10 + -1x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -1x = -3 + 0
10 + -1x = -3

Add '-10' to each side of the equation.
10 + -10 + -1x = -3 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -3 + -10
-1x = -3 + -10

Combine like terms: -3 + -10 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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