5(5x-6)=3(8x-2)-13

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Solution for 5(5x-6)=3(8x-2)-13 equation: 


Simplifying
5(5x + -6) = 3(8x + -2) + -13

Reorder the terms:
5(-6 + 5x) = 3(8x + -2) + -13
(-6 * 5 + 5x * 5) = 3(8x + -2) + -13
(-30 + 25x) = 3(8x + -2) + -13

Reorder the terms:
-30 + 25x = 3(-2 + 8x) + -13
-30 + 25x = (-2 * 3 + 8x * 3) + -13
-30 + 25x = (-6 + 24x) + -13

Reorder the terms:
-30 + 25x = -6 + -13 + 24x

Combine like terms: -6 + -13 = -19
-30 + 25x = -19 + 24x

Solving
-30 + 25x = -19 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-30 + 25x + -24x = -19 + 24x + -24x

Combine like terms: 25x + -24x = 1x
-30 + 1x = -19 + 24x + -24x

Combine like terms: 24x + -24x = 0
-30 + 1x = -19 + 0
-30 + 1x = -19

Add '30' to each side of the equation.
-30 + 30 + 1x = -19 + 30

Combine like terms: -30 + 30 = 0
0 + 1x = -19 + 30
1x = -19 + 30

Combine like terms: -19 + 30 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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