2(2x+9)=5x-7

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Solution for 2(2x+9)=5x-7 equation:


Simplifying
2(2x + 9) = 5x + -7

Reorder the terms:
2(9 + 2x) = 5x + -7
(9 * 2 + 2x * 2) = 5x + -7
(18 + 4x) = 5x + -7

Reorder the terms:
18 + 4x = -7 + 5x

Solving
18 + 4x = -7 + 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.
18 + 4x + -5x = -7 + 5x + -5x

Combine like terms: 4x + -5x = -1x
18 + -1x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -1x = -7 + 0
18 + -1x = -7

Add '-18' to each side of the equation.
18 + -18 + -1x = -7 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = -7 + -18
-1x = -7 + -18

Combine like terms: -7 + -18 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25

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