5x-7(x+3)=2x-21

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Solution for 5x-7(x+3)=2x-21 equation:


Simplifying
5x + -7(x + 3) = 2x + -21

Reorder the terms:
5x + -7(3 + x) = 2x + -21
5x + (3 * -7 + x * -7) = 2x + -21
5x + (-21 + -7x) = 2x + -21

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

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

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

Add '21' to each side of the equation.
-21 + 21 + -2x = -21 + 21 + 2x

Combine like terms: -21 + 21 = 0
0 + -2x = -21 + 21 + 2x
-2x = -21 + 21 + 2x

Combine like terms: -21 + 21 = 0
-2x = 0 + 2x
-2x = 2x

Solving
-2x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2x + -2x = 2x + -2x

Combine like terms: -2x + -2x = -4x
-4x = 2x + -2x

Combine like terms: 2x + -2x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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