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

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


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

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

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

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

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

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

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

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

Combine like terms: -2 + -3 = -5
-1 + 2x = -5 + 4x

Solving
-1 + 2x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-1 + 2x + -4x = -5 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-1 + -2x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + -2x = -5 + 0
-1 + -2x = -5

Add '1' to each side of the equation.
-1 + 1 + -2x = -5 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = -5 + 1
-2x = -5 + 1

Combine like terms: -5 + 1 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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