2x-4=7x+21

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Solution for 2x-4=7x+21 equation:


Simplifying
2x + -4 = 7x + 21

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

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

Solving
-4 + 2x = 21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 2x + -7x = 21 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-4 + -5x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -5x = 21 + 0
-4 + -5x = 21

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

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

Combine like terms: 21 + 4 = 25
-5x = 25

Divide each side by '-5'.
x = -5

Simplifying
x = -5

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