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

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


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

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

Reorder the terms:
15 + 5x + -2(-2 + x) = 7
15 + 5x + (-2 * -2 + x * -2) = 7
15 + 5x + (4 + -2x) = 7

Reorder the terms:
15 + 4 + 5x + -2x = 7

Combine like terms: 15 + 4 = 19
19 + 5x + -2x = 7

Combine like terms: 5x + -2x = 3x
19 + 3x = 7

Solving
19 + 3x = 7

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 3x = 7 + -19

Combine like terms: 19 + -19 = 0
0 + 3x = 7 + -19
3x = 7 + -19

Combine like terms: 7 + -19 = -12
3x = -12

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

Simplifying
x = -4

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