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

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


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

Reorder the terms:
6 + -2x + -4(1 + x) = 7(1 + -1x)
6 + -2x + (1 * -4 + x * -4) = 7(1 + -1x)
6 + -2x + (-4 + -4x) = 7(1 + -1x)

Reorder the terms:
6 + -4 + -2x + -4x = 7(1 + -1x)

Combine like terms: 6 + -4 = 2
2 + -2x + -4x = 7(1 + -1x)

Combine like terms: -2x + -4x = -6x
2 + -6x = 7(1 + -1x)
2 + -6x = (1 * 7 + -1x * 7)
2 + -6x = (7 + -7x)

Solving
2 + -6x = 7 + -7x

Solving for variable 'x'.

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

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

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

Combine like terms: -7x + 7x = 0
2 + 1x = 7 + 0
2 + 1x = 7

Add '-2' to each side of the equation.
2 + -2 + 1x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 7 + -2
1x = 7 + -2

Combine like terms: 7 + -2 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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