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 + 2x = -6 + 7 + 3x

Combine like terms: -6 + 7 = 1
10 + 2x = 1 + 3x

Solving
10 + 2x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 2x + -3x = 1 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = 1 + 0
10 + -1x = 1

Add '-10' to each side of the equation.
10 + -10 + -1x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 1 + -10
-1x = 1 + -10

Combine like terms: 1 + -10 = -9
-1x = -9

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

Simplifying
x = 9

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