7x-(9x+3)=4x-21

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Solution for 7x-(9x+3)=4x-21 equation:


Simplifying
7x + -1(9x + 3) = 4x + -21

Reorder the terms:
7x + -1(3 + 9x) = 4x + -21
7x + (3 * -1 + 9x * -1) = 4x + -21
7x + (-3 + -9x) = 4x + -21

Reorder the terms:
-3 + 7x + -9x = 4x + -21

Combine like terms: 7x + -9x = -2x
-3 + -2x = 4x + -21

Reorder the terms:
-3 + -2x = -21 + 4x

Solving
-3 + -2x = -21 + 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.
-3 + -2x + -4x = -21 + 4x + -4x

Combine like terms: -2x + -4x = -6x
-3 + -6x = -21 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -6x = -21 + 0
-3 + -6x = -21

Add '3' to each side of the equation.
-3 + 3 + -6x = -21 + 3

Combine like terms: -3 + 3 = 0
0 + -6x = -21 + 3
-6x = -21 + 3

Combine like terms: -21 + 3 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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