5(3x-4)-2(3x-13)=8x+6

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Solution for 5(3x-4)-2(3x-13)=8x+6 equation:


Simplifying
5(3x + -4) + -2(3x + -13) = 8x + 6

Reorder the terms:
5(-4 + 3x) + -2(3x + -13) = 8x + 6
(-4 * 5 + 3x * 5) + -2(3x + -13) = 8x + 6
(-20 + 15x) + -2(3x + -13) = 8x + 6

Reorder the terms:
-20 + 15x + -2(-13 + 3x) = 8x + 6
-20 + 15x + (-13 * -2 + 3x * -2) = 8x + 6
-20 + 15x + (26 + -6x) = 8x + 6

Reorder the terms:
-20 + 26 + 15x + -6x = 8x + 6

Combine like terms: -20 + 26 = 6
6 + 15x + -6x = 8x + 6

Combine like terms: 15x + -6x = 9x
6 + 9x = 8x + 6

Reorder the terms:
6 + 9x = 6 + 8x

Add '-6' to each side of the equation.
6 + -6 + 9x = 6 + -6 + 8x

Combine like terms: 6 + -6 = 0
0 + 9x = 6 + -6 + 8x
9x = 6 + -6 + 8x

Combine like terms: 6 + -6 = 0
9x = 0 + 8x
9x = 8x

Solving
9x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
9x + -8x = 8x + -8x

Combine like terms: 9x + -8x = 1x
1x = 8x + -8x

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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