5(x-3)=2(x-9)

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Solution for 5(x-3)=2(x-9) equation:


Simplifying
5(x + -3) = 2(x + -9)

Reorder the terms:
5(-3 + x) = 2(x + -9)
(-3 * 5 + x * 5) = 2(x + -9)
(-15 + 5x) = 2(x + -9)

Reorder the terms:
-15 + 5x = 2(-9 + x)
-15 + 5x = (-9 * 2 + x * 2)
-15 + 5x = (-18 + 2x)

Solving
-15 + 5x = -18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-15 + 5x + -2x = -18 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-15 + 3x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 3x = -18 + 0
-15 + 3x = -18

Add '15' to each side of the equation.
-15 + 15 + 3x = -18 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = -18 + 15
3x = -18 + 15

Combine like terms: -18 + 15 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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