x-3(1-7x)=2x+2

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Solution for x-3(1-7x)=2x+2 equation:


Simplifying
x + -3(1 + -7x) = 2x + 2
x + (1 * -3 + -7x * -3) = 2x + 2
x + (-3 + 21x) = 2x + 2

Reorder the terms:
-3 + x + 21x = 2x + 2

Combine like terms: x + 21x = 22x
-3 + 22x = 2x + 2

Reorder the terms:
-3 + 22x = 2 + 2x

Solving
-3 + 22x = 2 + 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.
-3 + 22x + -2x = 2 + 2x + -2x

Combine like terms: 22x + -2x = 20x
-3 + 20x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 20x = 2 + 0
-3 + 20x = 2

Add '3' to each side of the equation.
-3 + 3 + 20x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 20x = 2 + 3
20x = 2 + 3

Combine like terms: 2 + 3 = 5
20x = 5

Divide each side by '20'.
x = 0.25

Simplifying
x = 0.25

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