4(1-2x)+7x=5-(3+2x)

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Solution for 4(1-2x)+7x=5-(3+2x) equation: 


Simplifying
4(1 + -2x) + 7x = 5 + -1(3 + 2x)
(1 * 4 + -2x * 4) + 7x = 5 + -1(3 + 2x)
(4 + -8x) + 7x = 5 + -1(3 + 2x)

Combine like terms: -8x + 7x = -1x
4 + -1x = 5 + -1(3 + 2x)
4 + -1x = 5 + (3 * -1 + 2x * -1)
4 + -1x = 5 + (-3 + -2x)

Combine like terms: 5 + -3 = 2
4 + -1x = 2 + -2x

Solving
4 + -1x = 2 + -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.
4 + -1x + 2x = 2 + -2x + 2x

Combine like terms: -1x + 2x = 1x
4 + 1x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 1x = 2 + 0
4 + 1x = 2

Add '-4' to each side of the equation.
4 + -4 + 1x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 2 + -4
1x = 2 + -4

Combine like terms: 2 + -4 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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