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

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


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

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

Reorder the terms:
-3 + 7x = 2 + 3(5 + 2x)
-3 + 7x = 2 + (5 * 3 + 2x * 3)
-3 + 7x = 2 + (15 + 6x)

Combine like terms: 2 + 15 = 17
-3 + 7x = 17 + 6x

Solving
-3 + 7x = 17 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 7x + -6x = 17 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-3 + 1x = 17 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 1x = 17 + 0
-3 + 1x = 17

Add '3' to each side of the equation.
-3 + 3 + 1x = 17 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 17 + 3
1x = 17 + 3

Combine like terms: 17 + 3 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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