20x+2=4(5x+1)-x+7

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Solution for 20x+2=4(5x+1)-x+7 equation:


Simplifying
20x + 2 = 4(5x + 1) + -1x + 7

Reorder the terms:
2 + 20x = 4(5x + 1) + -1x + 7

Reorder the terms:
2 + 20x = 4(1 + 5x) + -1x + 7
2 + 20x = (1 * 4 + 5x * 4) + -1x + 7
2 + 20x = (4 + 20x) + -1x + 7

Reorder the terms:
2 + 20x = 4 + 7 + 20x + -1x

Combine like terms: 4 + 7 = 11
2 + 20x = 11 + 20x + -1x

Combine like terms: 20x + -1x = 19x
2 + 20x = 11 + 19x

Solving
2 + 20x = 11 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
2 + 20x + -19x = 11 + 19x + -19x

Combine like terms: 20x + -19x = 1x
2 + 1x = 11 + 19x + -19x

Combine like terms: 19x + -19x = 0
2 + 1x = 11 + 0
2 + 1x = 11

Add '-2' to each side of the equation.
2 + -2 + 1x = 11 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 11 + -2
1x = 11 + -2

Combine like terms: 11 + -2 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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