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

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


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

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

Reorder the terms:
-6 + 3x + -5(-3 + 2x) = 3
-6 + 3x + (-3 * -5 + 2x * -5) = 3
-6 + 3x + (15 + -10x) = 3

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

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

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

Solving
9 + -7x = 3

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 = 3 + -9

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

Combine like terms: 3 + -9 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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