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

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


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

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

Remove parenthesis around (9 + 7x)
9 + 7x + -4 = 8(x + -9)

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

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

Reorder the terms:
5 + 7x = 8(-9 + x)
5 + 7x = (-9 * 8 + x * 8)
5 + 7x = (-72 + 8x)

Solving
5 + 7x = -72 + 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 + 7x + -8x = -72 + 8x + -8x

Combine like terms: 7x + -8x = -1x
5 + -1x = -72 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + -1x = -72 + 0
5 + -1x = -72

Add '-5' to each side of the equation.
5 + -5 + -1x = -72 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -72 + -5
-1x = -72 + -5

Combine like terms: -72 + -5 = -77
-1x = -77

Divide each side by '-1'.
x = 77

Simplifying
x = 77

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