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

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


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

Reorder the terms:
2 + -6x = 2(7 + -4x)
2 + -6x = (7 * 2 + -4x * 2)
2 + -6x = (14 + -8x)

Solving
2 + -6x = 14 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
2 + -6x + 8x = 14 + -8x + 8x

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

Combine like terms: -8x + 8x = 0
2 + 2x = 14 + 0
2 + 2x = 14

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

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

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

Divide each side by '2'.
x = 6

Simplifying
x = 6

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