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

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


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

Reorder the terms:
2(-1 + 4x) = 3(4 + -3x) + 3x
(-1 * 2 + 4x * 2) = 3(4 + -3x) + 3x
(-2 + 8x) = 3(4 + -3x) + 3x
-2 + 8x = (4 * 3 + -3x * 3) + 3x
-2 + 8x = (12 + -9x) + 3x

Combine like terms: -9x + 3x = -6x
-2 + 8x = 12 + -6x

Solving
-2 + 8x = 12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-2 + 8x + 6x = 12 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-2 + 14x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2 + 14x = 12 + 0
-2 + 14x = 12

Add '2' to each side of the equation.
-2 + 2 + 14x = 12 + 2

Combine like terms: -2 + 2 = 0
0 + 14x = 12 + 2
14x = 12 + 2

Combine like terms: 12 + 2 = 14
14x = 14

Divide each side by '14'.
x = 1

Simplifying
x = 1

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