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

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


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

Reorder the terms:
5(-8 + x) = 3(x + -6)
(-8 * 5 + x * 5) = 3(x + -6)
(-40 + 5x) = 3(x + -6)

Reorder the terms:
-40 + 5x = 3(-6 + x)
-40 + 5x = (-6 * 3 + x * 3)
-40 + 5x = (-18 + 3x)

Solving
-40 + 5x = -18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-40 + 5x + -3x = -18 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-40 + 2x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-40 + 2x = -18 + 0
-40 + 2x = -18

Add '40' to each side of the equation.
-40 + 40 + 2x = -18 + 40

Combine like terms: -40 + 40 = 0
0 + 2x = -18 + 40
2x = -18 + 40

Combine like terms: -18 + 40 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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