6(1-2x)-2(4-9x)=7

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Solution for 6(1-2x)-2(4-9x)=7 equation: 


Simplifying
6(1 + -2x) + -2(4 + -9x) = 7
(1 * 6 + -2x * 6) + -2(4 + -9x) = 7
(6 + -12x) + -2(4 + -9x) = 7
6 + -12x + (4 * -2 + -9x * -2) = 7
6 + -12x + (-8 + 18x) = 7

Reorder the terms:
6 + -8 + -12x + 18x = 7

Combine like terms: 6 + -8 = -2
-2 + -12x + 18x = 7

Combine like terms: -12x + 18x = 6x
-2 + 6x = 7

Solving
-2 + 6x = 7

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 6x = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 7 + 2
6x = 7 + 2

Combine like terms: 7 + 2 = 9
6x = 9

Divide each side by '6'.
x = 1.5

Simplifying
x = 1.5

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