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

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


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

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

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

Combine like terms: 3x + 8x = 11x
-2 + 11x = 4x + -3

Reorder the terms:
-2 + 11x = -3 + 4x

Solving
-2 + 11x = -3 + 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.
-2 + 11x + -4x = -3 + 4x + -4x

Combine like terms: 11x + -4x = 7x
-2 + 7x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 7x = -3 + 0
-2 + 7x = -3

Add '2' to each side of the equation.
-2 + 2 + 7x = -3 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = -3 + 2
7x = -3 + 2

Combine like terms: -3 + 2 = -1
7x = -1

Divide each side by '7'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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