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

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


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

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

Combine like terms: 4x + -5x = -1x
-10 + -1x = 3(x + -3)

Reorder the terms:
-10 + -1x = 3(-3 + x)
-10 + -1x = (-3 * 3 + x * 3)
-10 + -1x = (-9 + 3x)

Solving
-10 + -1x = -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 + -1x + -3x = -9 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-10 + -4x = -9 + 0
-10 + -4x = -9

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

Combine like terms: -10 + 10 = 0
0 + -4x = -9 + 10
-4x = -9 + 10

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

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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