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

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


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

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

Reorder the terms:
-15 + 10x + -3(-2 + x) = 0
-15 + 10x + (-2 * -3 + x * -3) = 0
-15 + 10x + (6 + -3x) = 0

Reorder the terms:
-15 + 6 + 10x + -3x = 0

Combine like terms: -15 + 6 = -9
-9 + 10x + -3x = 0

Combine like terms: 10x + -3x = 7x
-9 + 7x = 0

Solving
-9 + 7x = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 7x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 0 + 9
7x = 0 + 9

Combine like terms: 0 + 9 = 9
7x = 9

Divide each side by '7'.
x = 1.285714286

Simplifying
x = 1.285714286

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