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

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


Simplifying
2(3 + -4x) = 3x + -1(x + -7)
(3 * 2 + -4x * 2) = 3x + -1(x + -7)
(6 + -8x) = 3x + -1(x + -7)

Reorder the terms:
6 + -8x = 3x + -1(-7 + x)
6 + -8x = 3x + (-7 * -1 + x * -1)
6 + -8x = 3x + (7 + -1x)

Reorder the terms:
6 + -8x = 7 + 3x + -1x

Combine like terms: 3x + -1x = 2x
6 + -8x = 7 + 2x

Solving
6 + -8x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + -8x + -2x = 7 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
6 + -10x = 7 + 0
6 + -10x = 7

Add '-6' to each side of the equation.
6 + -6 + -10x = 7 + -6

Combine like terms: 6 + -6 = 0
0 + -10x = 7 + -6
-10x = 7 + -6

Combine like terms: 7 + -6 = 1
-10x = 1

Divide each side by '-10'.
x = -0.1

Simplifying
x = -0.1

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