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

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


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

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

Remove parenthesis around (-1 + 9x)
-1 + 9x + -1(4x + 7) = 7

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

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

Combine like terms: -1 + -7 = -8
-8 + 9x + -4x = 7

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

Solving
-8 + 5x = 7

Solving for variable 'x'.

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

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

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

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

Divide each side by '5'.
x = 3

Simplifying
x = 3

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