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

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


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

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

Reorder the terms:
4 + 2x + -5(-3 + 2x) = 3
4 + 2x + (-3 * -5 + 2x * -5) = 3
4 + 2x + (15 + -10x) = 3

Reorder the terms:
4 + 15 + 2x + -10x = 3

Combine like terms: 4 + 15 = 19
19 + 2x + -10x = 3

Combine like terms: 2x + -10x = -8x
19 + -8x = 3

Solving
19 + -8x = 3

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + -8x = 3 + -19

Combine like terms: 19 + -19 = 0
0 + -8x = 3 + -19
-8x = 3 + -19

Combine like terms: 3 + -19 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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