3(x+10)-2(-x+5)=15

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Solution for 3(x+10)-2(-x+5)=15 equation:


Simplifying
3(x + 10) + -2(-1x + 5) = 15

Reorder the terms:
3(10 + x) + -2(-1x + 5) = 15
(10 * 3 + x * 3) + -2(-1x + 5) = 15
(30 + 3x) + -2(-1x + 5) = 15

Reorder the terms:
30 + 3x + -2(5 + -1x) = 15
30 + 3x + (5 * -2 + -1x * -2) = 15
30 + 3x + (-10 + 2x) = 15

Reorder the terms:
30 + -10 + 3x + 2x = 15

Combine like terms: 30 + -10 = 20
20 + 3x + 2x = 15

Combine like terms: 3x + 2x = 5x
20 + 5x = 15

Solving
20 + 5x = 15

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 5x = 15 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = 15 + -20
5x = 15 + -20

Combine like terms: 15 + -20 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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