7-(x+2)=9-4(2x-1)

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Solution for 7-(x+2)=9-4(2x-1) equation:


Simplifying
7 + -1(x + 2) = 9 + -4(2x + -1)

Reorder the terms:
7 + -1(2 + x) = 9 + -4(2x + -1)
7 + (2 * -1 + x * -1) = 9 + -4(2x + -1)
7 + (-2 + -1x) = 9 + -4(2x + -1)

Combine like terms: 7 + -2 = 5
5 + -1x = 9 + -4(2x + -1)

Reorder the terms:
5 + -1x = 9 + -4(-1 + 2x)
5 + -1x = 9 + (-1 * -4 + 2x * -4)
5 + -1x = 9 + (4 + -8x)

Combine like terms: 9 + 4 = 13
5 + -1x = 13 + -8x

Solving
5 + -1x = 13 + -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.
5 + -1x + 8x = 13 + -8x + 8x

Combine like terms: -1x + 8x = 7x
5 + 7x = 13 + -8x + 8x

Combine like terms: -8x + 8x = 0
5 + 7x = 13 + 0
5 + 7x = 13

Add '-5' to each side of the equation.
5 + -5 + 7x = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = 13 + -5
7x = 13 + -5

Combine like terms: 13 + -5 = 8
7x = 8

Divide each side by '7'.
x = 1.142857143

Simplifying
x = 1.142857143

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