3(1-2x)+4(3x-1)=7

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Solution for 3(1-2x)+4(3x-1)=7 equation: 


Simplifying
3(1 + -2x) + 4(3x + -1) = 7
(1 * 3 + -2x * 3) + 4(3x + -1) = 7
(3 + -6x) + 4(3x + -1) = 7

Reorder the terms:
3 + -6x + 4(-1 + 3x) = 7
3 + -6x + (-1 * 4 + 3x * 4) = 7
3 + -6x + (-4 + 12x) = 7

Reorder the terms:
3 + -4 + -6x + 12x = 7

Combine like terms: 3 + -4 = -1
-1 + -6x + 12x = 7

Combine like terms: -6x + 12x = 6x
-1 + 6x = 7

Solving
-1 + 6x = 7

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 6x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + 6x = 7 + 1
6x = 7 + 1

Combine like terms: 7 + 1 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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