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

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


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

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

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

Solving
15 + 3x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + 3x + -2x = -10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
15 + 1x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 1x = -10 + 0
15 + 1x = -10

Add '-15' to each side of the equation.
15 + -15 + 1x = -10 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = -10 + -15
1x = -10 + -15

Combine like terms: -10 + -15 = -25
1x = -25

Divide each side by '1'.
x = -25

Simplifying
x = -25

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