5(x+3)-(2x-7)=10

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Solution for 5(x+3)-(2x-7)=10 equation: 


Simplifying
5(x + 3) + -1(2x + -7) = 10

Reorder the terms:
5(3 + x) + -1(2x + -7) = 10
(3 * 5 + x * 5) + -1(2x + -7) = 10
(15 + 5x) + -1(2x + -7) = 10

Reorder the terms:
15 + 5x + -1(-7 + 2x) = 10
15 + 5x + (-7 * -1 + 2x * -1) = 10
15 + 5x + (7 + -2x) = 10

Reorder the terms:
15 + 7 + 5x + -2x = 10

Combine like terms: 15 + 7 = 22
22 + 5x + -2x = 10

Combine like terms: 5x + -2x = 3x
22 + 3x = 10

Solving
22 + 3x = 10

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 + 3x = 10 + -22

Combine like terms: 22 + -22 = 0
0 + 3x = 10 + -22
3x = 10 + -22

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

Divide each side by '3'.
x = -4

Simplifying
x = -4

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