6(2x-1)+4=5(3x-1)

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Solution for 6(2x-1)+4=5(3x-1) equation:


Simplifying
6(2x + -1) + 4 = 5(3x + -1)

Reorder the terms:
6(-1 + 2x) + 4 = 5(3x + -1)
(-1 * 6 + 2x * 6) + 4 = 5(3x + -1)
(-6 + 12x) + 4 = 5(3x + -1)

Reorder the terms:
-6 + 4 + 12x = 5(3x + -1)

Combine like terms: -6 + 4 = -2
-2 + 12x = 5(3x + -1)

Reorder the terms:
-2 + 12x = 5(-1 + 3x)
-2 + 12x = (-1 * 5 + 3x * 5)
-2 + 12x = (-5 + 15x)

Solving
-2 + 12x = -5 + 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 + 12x + -15x = -5 + 15x + -15x

Combine like terms: 12x + -15x = -3x
-2 + -3x = -5 + 15x + -15x

Combine like terms: 15x + -15x = 0
-2 + -3x = -5 + 0
-2 + -3x = -5

Add '2' to each side of the equation.
-2 + 2 + -3x = -5 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = -5 + 2
-3x = -5 + 2

Combine like terms: -5 + 2 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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