1+7(3x+2)=x-5

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Solution for 1+7(3x+2)=x-5 equation:


Simplifying
1 + 7(3x + 2) = x + -5

Reorder the terms:
1 + 7(2 + 3x) = x + -5
1 + (2 * 7 + 3x * 7) = x + -5
1 + (14 + 21x) = x + -5

Combine like terms: 1 + 14 = 15
15 + 21x = x + -5

Reorder the terms:
15 + 21x = -5 + x

Solving
15 + 21x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
15 + 21x + -1x = -5 + x + -1x

Combine like terms: 21x + -1x = 20x
15 + 20x = -5 + x + -1x

Combine like terms: x + -1x = 0
15 + 20x = -5 + 0
15 + 20x = -5

Add '-15' to each side of the equation.
15 + -15 + 20x = -5 + -15

Combine like terms: 15 + -15 = 0
0 + 20x = -5 + -15
20x = -5 + -15

Combine like terms: -5 + -15 = -20
20x = -20

Divide each side by '20'.
x = -1

Simplifying
x = -1

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