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

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


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

Reorder the terms:
2(-5 + 2x) = 3(x + -3)
(-5 * 2 + 2x * 2) = 3(x + -3)
(-10 + 4x) = 3(x + -3)

Reorder the terms:
-10 + 4x = 3(-3 + x)
-10 + 4x = (-3 * 3 + x * 3)
-10 + 4x = (-9 + 3x)

Solving
-10 + 4x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 4x + -3x = -9 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-10 + 1x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 1x = -9 + 0
-10 + 1x = -9

Add '10' to each side of the equation.
-10 + 10 + 1x = -9 + 10

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

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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