9(x-3)=2(5x-1)

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Solution for 9(x-3)=2(5x-1) equation:


Simplifying
9(x + -3) = 2(5x + -1)

Reorder the terms:
9(-3 + x) = 2(5x + -1)
(-3 * 9 + x * 9) = 2(5x + -1)
(-27 + 9x) = 2(5x + -1)

Reorder the terms:
-27 + 9x = 2(-1 + 5x)
-27 + 9x = (-1 * 2 + 5x * 2)
-27 + 9x = (-2 + 10x)

Solving
-27 + 9x = -2 + 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.
-27 + 9x + -10x = -2 + 10x + -10x

Combine like terms: 9x + -10x = -1x
-27 + -1x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
-27 + -1x = -2 + 0
-27 + -1x = -2

Add '27' to each side of the equation.
-27 + 27 + -1x = -2 + 27

Combine like terms: -27 + 27 = 0
0 + -1x = -2 + 27
-1x = -2 + 27

Combine like terms: -2 + 27 = 25
-1x = 25

Divide each side by '-1'.
x = -25

Simplifying
x = -25

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