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

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


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

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

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

Reorder the terms:
-5 + 2x = -4 + -2 + 12x

Combine like terms: -4 + -2 = -6
-5 + 2x = -6 + 12x

Solving
-5 + 2x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-5 + 2x + -12x = -6 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-5 + -10x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
-5 + -10x = -6 + 0
-5 + -10x = -6

Add '5' to each side of the equation.
-5 + 5 + -10x = -6 + 5

Combine like terms: -5 + 5 = 0
0 + -10x = -6 + 5
-10x = -6 + 5

Combine like terms: -6 + 5 = -1
-10x = -1

Divide each side by '-10'.
x = 0.1

Simplifying
x = 0.1

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