3(x-5)=2(x+4)-10

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Solution for 3(x-5)=2(x+4)-10 equation:


Simplifying
3(x + -5) = 2(x + 4) + -10

Reorder the terms:
3(-5 + x) = 2(x + 4) + -10
(-5 * 3 + x * 3) = 2(x + 4) + -10
(-15 + 3x) = 2(x + 4) + -10

Reorder the terms:
-15 + 3x = 2(4 + x) + -10
-15 + 3x = (4 * 2 + x * 2) + -10
-15 + 3x = (8 + 2x) + -10

Reorder the terms:
-15 + 3x = 8 + -10 + 2x

Combine like terms: 8 + -10 = -2
-15 + 3x = -2 + 2x

Solving
-15 + 3x = -2 + 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 = -2 + 2x + -2x

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

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

Add '15' to each side of the equation.
-15 + 15 + 1x = -2 + 15

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

Combine like terms: -2 + 15 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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