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

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Solution for 2(x-3)+3(x-1)=5(2x-1) equation:


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

Reorder the terms:
2(-3 + x) + 3(x + -1) = 5(2x + -1)
(-3 * 2 + x * 2) + 3(x + -1) = 5(2x + -1)
(-6 + 2x) + 3(x + -1) = 5(2x + -1)

Reorder the terms:
-6 + 2x + 3(-1 + x) = 5(2x + -1)
-6 + 2x + (-1 * 3 + x * 3) = 5(2x + -1)
-6 + 2x + (-3 + 3x) = 5(2x + -1)

Reorder the terms:
-6 + -3 + 2x + 3x = 5(2x + -1)

Combine like terms: -6 + -3 = -9
-9 + 2x + 3x = 5(2x + -1)

Combine like terms: 2x + 3x = 5x
-9 + 5x = 5(2x + -1)

Reorder the terms:
-9 + 5x = 5(-1 + 2x)
-9 + 5x = (-1 * 5 + 2x * 5)
-9 + 5x = (-5 + 10x)

Solving
-9 + 5x = -5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-9 + 5x + -10x = -5 + 10x + -10x

Combine like terms: 5x + -10x = -5x
-9 + -5x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
-9 + -5x = -5 + 0
-9 + -5x = -5

Add '9' to each side of the equation.
-9 + 9 + -5x = -5 + 9

Combine like terms: -9 + 9 = 0
0 + -5x = -5 + 9
-5x = -5 + 9

Combine like terms: -5 + 9 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

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