7x-(2x+5)=9x-21

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Solution for 7x-(2x+5)=9x-21 equation:


Simplifying
7x + -1(2x + 5) = 9x + -21

Reorder the terms:
7x + -1(5 + 2x) = 9x + -21
7x + (5 * -1 + 2x * -1) = 9x + -21
7x + (-5 + -2x) = 9x + -21

Reorder the terms:
-5 + 7x + -2x = 9x + -21

Combine like terms: 7x + -2x = 5x
-5 + 5x = 9x + -21

Reorder the terms:
-5 + 5x = -21 + 9x

Solving
-5 + 5x = -21 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-5 + 5x + -9x = -21 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-5 + -4x = -21 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + -4x = -21 + 0
-5 + -4x = -21

Add '5' to each side of the equation.
-5 + 5 + -4x = -21 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = -21 + 5
-4x = -21 + 5

Combine like terms: -21 + 5 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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