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

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


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

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

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

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

Combine like terms: -8x + 8x = 0
3 + 5x = 14 + 0
3 + 5x = 14

Add '-3' to each side of the equation.
3 + -3 + 5x = 14 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 14 + -3
5x = 14 + -3

Combine like terms: 14 + -3 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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