7x+8=9-(4x-9)

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Solution for 7x+8=9-(4x-9) equation:


Simplifying
7x + 8 = 9 + -1(4x + -9)

Reorder the terms:
8 + 7x = 9 + -1(4x + -9)

Reorder the terms:
8 + 7x = 9 + -1(-9 + 4x)
8 + 7x = 9 + (-9 * -1 + 4x * -1)
8 + 7x = 9 + (9 + -4x)

Combine like terms: 9 + 9 = 18
8 + 7x = 18 + -4x

Solving
8 + 7x = 18 + -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.
8 + 7x + 4x = 18 + -4x + 4x

Combine like terms: 7x + 4x = 11x
8 + 11x = 18 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + 11x = 18 + 0
8 + 11x = 18

Add '-8' to each side of the equation.
8 + -8 + 11x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 11x = 18 + -8
11x = 18 + -8

Combine like terms: 18 + -8 = 10
11x = 10

Divide each side by '11'.
x = 0.9090909091

Simplifying
x = 0.9090909091

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