2(2x+7)-3(x-9)=15

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Solution for 2(2x+7)-3(x-9)=15 equation:


Simplifying
2(2x + 7) + -3(x + -9) = 15

Reorder the terms:
2(7 + 2x) + -3(x + -9) = 15
(7 * 2 + 2x * 2) + -3(x + -9) = 15
(14 + 4x) + -3(x + -9) = 15

Reorder the terms:
14 + 4x + -3(-9 + x) = 15
14 + 4x + (-9 * -3 + x * -3) = 15
14 + 4x + (27 + -3x) = 15

Reorder the terms:
14 + 27 + 4x + -3x = 15

Combine like terms: 14 + 27 = 41
41 + 4x + -3x = 15

Combine like terms: 4x + -3x = 1x
41 + 1x = 15

Solving
41 + 1x = 15

Solving for variable 'x'.

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

Add '-41' to each side of the equation.
41 + -41 + 1x = 15 + -41

Combine like terms: 41 + -41 = 0
0 + 1x = 15 + -41
1x = 15 + -41

Combine like terms: 15 + -41 = -26
1x = -26

Divide each side by '1'.
x = -26

Simplifying
x = -26

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