2(3x-1)+4x=8-5(3x-3)

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Solution for 2(3x-1)+4x=8-5(3x-3) equation:


Simplifying
2(3x + -1) + 4x = 8 + -5(3x + -3)

Reorder the terms:
2(-1 + 3x) + 4x = 8 + -5(3x + -3)
(-1 * 2 + 3x * 2) + 4x = 8 + -5(3x + -3)
(-2 + 6x) + 4x = 8 + -5(3x + -3)

Combine like terms: 6x + 4x = 10x
-2 + 10x = 8 + -5(3x + -3)

Reorder the terms:
-2 + 10x = 8 + -5(-3 + 3x)
-2 + 10x = 8 + (-3 * -5 + 3x * -5)
-2 + 10x = 8 + (15 + -15x)

Combine like terms: 8 + 15 = 23
-2 + 10x = 23 + -15x

Solving
-2 + 10x = 23 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-2 + 10x + 15x = 23 + -15x + 15x

Combine like terms: 10x + 15x = 25x
-2 + 25x = 23 + -15x + 15x

Combine like terms: -15x + 15x = 0
-2 + 25x = 23 + 0
-2 + 25x = 23

Add '2' to each side of the equation.
-2 + 2 + 25x = 23 + 2

Combine like terms: -2 + 2 = 0
0 + 25x = 23 + 2
25x = 23 + 2

Combine like terms: 23 + 2 = 25
25x = 25

Divide each side by '25'.
x = 1

Simplifying
x = 1

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