21x-2=4(5x+3)-10

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Solution for 21x-2=4(5x+3)-10 equation:


Simplifying
21x + -2 = 4(5x + 3) + -10

Reorder the terms:
-2 + 21x = 4(5x + 3) + -10

Reorder the terms:
-2 + 21x = 4(3 + 5x) + -10
-2 + 21x = (3 * 4 + 5x * 4) + -10
-2 + 21x = (12 + 20x) + -10

Reorder the terms:
-2 + 21x = 12 + -10 + 20x

Combine like terms: 12 + -10 = 2
-2 + 21x = 2 + 20x

Solving
-2 + 21x = 2 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-2 + 21x + -20x = 2 + 20x + -20x

Combine like terms: 21x + -20x = 1x
-2 + 1x = 2 + 20x + -20x

Combine like terms: 20x + -20x = 0
-2 + 1x = 2 + 0
-2 + 1x = 2

Add '2' to each side of the equation.
-2 + 2 + 1x = 2 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 2 + 2
1x = 2 + 2

Combine like terms: 2 + 2 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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