6(x-4)=5x-15

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Solution for 6(x-4)=5x-15 equation:


Simplifying
6(x + -4) = 5x + -15

Reorder the terms:
6(-4 + x) = 5x + -15
(-4 * 6 + x * 6) = 5x + -15
(-24 + 6x) = 5x + -15

Reorder the terms:
-24 + 6x = -15 + 5x

Solving
-24 + 6x = -15 + 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.
-24 + 6x + -5x = -15 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-24 + 1x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-24 + 1x = -15 + 0
-24 + 1x = -15

Add '24' to each side of the equation.
-24 + 24 + 1x = -15 + 24

Combine like terms: -24 + 24 = 0
0 + 1x = -15 + 24
1x = -15 + 24

Combine like terms: -15 + 24 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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