(2x-7)=(4x-21)

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Solution for (2x-7)=(4x-21) equation:


Simplifying
(2x + -7) = (4x + -21)

Reorder the terms:
(-7 + 2x) = (4x + -21)

Remove parenthesis around (-7 + 2x)
-7 + 2x = (4x + -21)

Reorder the terms:
-7 + 2x = (-21 + 4x)

Remove parenthesis around (-21 + 4x)
-7 + 2x = -21 + 4x

Solving
-7 + 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.
-7 + 2x + -4x = -21 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-7 + -2x = -21 + 0
-7 + -2x = -21

Add '7' to each side of the equation.
-7 + 7 + -2x = -21 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = -21 + 7
-2x = -21 + 7

Combine like terms: -21 + 7 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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