2(7x-5)=13x-8

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Solution for 2(7x-5)=13x-8 equation:


Simplifying
2(7x + -5) = 13x + -8

Reorder the terms:
2(-5 + 7x) = 13x + -8
(-5 * 2 + 7x * 2) = 13x + -8
(-10 + 14x) = 13x + -8

Reorder the terms:
-10 + 14x = -8 + 13x

Solving
-10 + 14x = -8 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-10 + 14x + -13x = -8 + 13x + -13x

Combine like terms: 14x + -13x = 1x
-10 + 1x = -8 + 13x + -13x

Combine like terms: 13x + -13x = 0
-10 + 1x = -8 + 0
-10 + 1x = -8

Add '10' to each side of the equation.
-10 + 10 + 1x = -8 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -8 + 10
1x = -8 + 10

Combine like terms: -8 + 10 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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