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

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


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

Remove parenthesis around (1 + -3x)
1 + -3x = 2(-4x + 7)

Reorder the terms:
1 + -3x = 2(7 + -4x)
1 + -3x = (7 * 2 + -4x * 2)
1 + -3x = (14 + -8x)

Solving
1 + -3x = 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.
1 + -3x + 8x = 14 + -8x + 8x

Combine like terms: -3x + 8x = 5x
1 + 5x = 14 + -8x + 8x

Combine like terms: -8x + 8x = 0
1 + 5x = 14 + 0
1 + 5x = 14

Add '-1' to each side of the equation.
1 + -1 + 5x = 14 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 14 + -1
5x = 14 + -1

Combine like terms: 14 + -1 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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