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

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


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

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

Reorder the terms:
10 + 2x + -3(-2 + x) = 7
10 + 2x + (-2 * -3 + x * -3) = 7
10 + 2x + (6 + -3x) = 7

Reorder the terms:
10 + 6 + 2x + -3x = 7

Combine like terms: 10 + 6 = 16
16 + 2x + -3x = 7

Combine like terms: 2x + -3x = -1x
16 + -1x = 7

Solving
16 + -1x = 7

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 7 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 7 + -16
-1x = 7 + -16

Combine like terms: 7 + -16 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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