3(x+5)-(4x-8)=-2x+10

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Solution for 3(x+5)-(4x-8)=-2x+10 equation: 


Simplifying
3(x + 5) + -1(4x + -8) = -2x + 10

Reorder the terms:
3(5 + x) + -1(4x + -8) = -2x + 10
(5 * 3 + x * 3) + -1(4x + -8) = -2x + 10
(15 + 3x) + -1(4x + -8) = -2x + 10

Reorder the terms:
15 + 3x + -1(-8 + 4x) = -2x + 10
15 + 3x + (-8 * -1 + 4x * -1) = -2x + 10
15 + 3x + (8 + -4x) = -2x + 10

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

Combine like terms: 15 + 8 = 23
23 + 3x + -4x = -2x + 10

Combine like terms: 3x + -4x = -1x
23 + -1x = -2x + 10

Reorder the terms:
23 + -1x = 10 + -2x

Solving
23 + -1x = 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.
23 + -1x + 2x = 10 + -2x + 2x

Combine like terms: -1x + 2x = 1x
23 + 1x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
23 + 1x = 10 + 0
23 + 1x = 10

Add '-23' to each side of the equation.
23 + -23 + 1x = 10 + -23

Combine like terms: 23 + -23 = 0
0 + 1x = 10 + -23
1x = 10 + -23

Combine like terms: 10 + -23 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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