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

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


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

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

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

Reorder the terms:
-4 + 8x = -3 + -2 + 3x

Combine like terms: -3 + -2 = -5
-4 + 8x = -5 + 3x

Solving
-4 + 8x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 8x + -3x = -5 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-4 + 5x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 5x = -5 + 0
-4 + 5x = -5

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

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

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

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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