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

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


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

Reorder the terms:
2 + -6x + -4(-2 + x) = 7
2 + -6x + (-2 * -4 + x * -4) = 7
2 + -6x + (8 + -4x) = 7

Reorder the terms:
2 + 8 + -6x + -4x = 7

Combine like terms: 2 + 8 = 10
10 + -6x + -4x = 7

Combine like terms: -6x + -4x = -10x
10 + -10x = 7

Solving
10 + -10x = 7

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -10x = 7 + -10

Combine like terms: 10 + -10 = 0
0 + -10x = 7 + -10
-10x = 7 + -10

Combine like terms: 7 + -10 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3

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