2(x+5)-3(x-4)=7

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Solution for 2(x+5)-3(x-4)=7 equation: 


Simplifying
2(x + 5) + -3(x + -4) = 7

Reorder the terms:
2(5 + x) + -3(x + -4) = 7
(5 * 2 + x * 2) + -3(x + -4) = 7
(10 + 2x) + -3(x + -4) = 7

Reorder the terms:
10 + 2x + -3(-4 + x) = 7
10 + 2x + (-4 * -3 + x * -3) = 7
10 + 2x + (12 + -3x) = 7

Reorder the terms:
10 + 12 + 2x + -3x = 7

Combine like terms: 10 + 12 = 22
22 + 2x + -3x = 7

Combine like terms: 2x + -3x = -1x
22 + -1x = 7

Solving
22 + -1x = 7

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 7 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 7 + -22
-1x = 7 + -22

Combine like terms: 7 + -22 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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