3(5x-2)-(13x-8)=10

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Solution for 3(5x-2)-(13x-8)=10 equation: 


Simplifying
3(5x + -2) + -1(13x + -8) = 10

Reorder the terms:
3(-2 + 5x) + -1(13x + -8) = 10
(-2 * 3 + 5x * 3) + -1(13x + -8) = 10
(-6 + 15x) + -1(13x + -8) = 10

Reorder the terms:
-6 + 15x + -1(-8 + 13x) = 10
-6 + 15x + (-8 * -1 + 13x * -1) = 10
-6 + 15x + (8 + -13x) = 10

Reorder the terms:
-6 + 8 + 15x + -13x = 10

Combine like terms: -6 + 8 = 2
2 + 15x + -13x = 10

Combine like terms: 15x + -13x = 2x
2 + 2x = 10

Solving
2 + 2x = 10

Solving for variable 'x'.

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

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

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

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

Divide each side by '2'.
x = 4

Simplifying
x = 4

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