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

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


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

Reorder the terms:
5(-9 + x) = 2(2x + -3)
(-9 * 5 + x * 5) = 2(2x + -3)
(-45 + 5x) = 2(2x + -3)

Reorder the terms:
-45 + 5x = 2(-3 + 2x)
-45 + 5x = (-3 * 2 + 2x * 2)
-45 + 5x = (-6 + 4x)

Solving
-45 + 5x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-45 + 5x + -4x = -6 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-45 + 1x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-45 + 1x = -6 + 0
-45 + 1x = -6

Add '45' to each side of the equation.
-45 + 45 + 1x = -6 + 45

Combine like terms: -45 + 45 = 0
0 + 1x = -6 + 45
1x = -6 + 45

Combine like terms: -6 + 45 = 39
1x = 39

Divide each side by '1'.
x = 39

Simplifying
x = 39

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