6(x-3)=5x-8

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


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

Reorder the terms:
6(-3 + x) = 5x + -8
(-3 * 6 + x * 6) = 5x + -8
(-18 + 6x) = 5x + -8

Reorder the terms:
-18 + 6x = -8 + 5x

Solving
-18 + 6x = -8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-18 + 6x + -5x = -8 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-18 + 1x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + 1x = -8 + 0
-18 + 1x = -8

Add '18' to each side of the equation.
-18 + 18 + 1x = -8 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = -8 + 18
1x = -8 + 18

Combine like terms: -8 + 18 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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