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

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


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

Reorder the terms:
6(-3 + 2x) = 2(5x + 4)
(-3 * 6 + 2x * 6) = 2(5x + 4)
(-18 + 12x) = 2(5x + 4)

Reorder the terms:
-18 + 12x = 2(4 + 5x)
-18 + 12x = (4 * 2 + 5x * 2)
-18 + 12x = (8 + 10x)

Solving
-18 + 12x = 8 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-18 + 12x + -10x = 8 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-18 + 2x = 8 + 10x + -10x

Combine like terms: 10x + -10x = 0
-18 + 2x = 8 + 0
-18 + 2x = 8

Add '18' to each side of the equation.
-18 + 18 + 2x = 8 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 8 + 18
2x = 8 + 18

Combine like terms: 8 + 18 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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