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

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


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

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

Combine like terms: 2x + 7x = 9x
-7 + 9x = 4(x + 2)

Reorder the terms:
-7 + 9x = 4(2 + x)
-7 + 9x = (2 * 4 + x * 4)
-7 + 9x = (8 + 4x)

Solving
-7 + 9x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-7 + 9x + -4x = 8 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-7 + 5x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 5x = 8 + 0
-7 + 5x = 8

Add '7' to each side of the equation.
-7 + 7 + 5x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 8 + 7
5x = 8 + 7

Combine like terms: 8 + 7 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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