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

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


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

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

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

Reorder the terms:
-15 + 2 + 10x + -3x = 0

Combine like terms: -15 + 2 = -13
-13 + 10x + -3x = 0

Combine like terms: 10x + -3x = 7x
-13 + 7x = 0

Solving
-13 + 7x = 0

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 7x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 7x = 0 + 13
7x = 0 + 13

Combine like terms: 0 + 13 = 13
7x = 13

Divide each side by '7'.
x = 1.857142857

Simplifying
x = 1.857142857

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