5(2x-3)-(x-3)=0

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Solution for 5(2x-3)-(x-3)=0 equation:


Simplifying
5(2x + -3) + -1(x + -3) = 0

Reorder the terms:
5(-3 + 2x) + -1(x + -3) = 0
(-3 * 5 + 2x * 5) + -1(x + -3) = 0
(-15 + 10x) + -1(x + -3) = 0

Reorder the terms:
-15 + 10x + -1(-3 + x) = 0
-15 + 10x + (-3 * -1 + x * -1) = 0
-15 + 10x + (3 + -1x) = 0

Reorder the terms:
-15 + 3 + 10x + -1x = 0

Combine like terms: -15 + 3 = -12
-12 + 10x + -1x = 0

Combine like terms: 10x + -1x = 9x
-12 + 9x = 0

Solving
-12 + 9x = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 9x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 9x = 0 + 12
9x = 0 + 12

Combine like terms: 0 + 12 = 12
9x = 12

Divide each side by '9'.
x = 1.333333333

Simplifying
x = 1.333333333

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