7(3x+1)+6=-10(2-x)

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Solution for 7(3x+1)+6=-10(2-x) equation:


Simplifying
7(3x + 1) + 6 = -10(2 + -1x)

Reorder the terms:
7(1 + 3x) + 6 = -10(2 + -1x)
(1 * 7 + 3x * 7) + 6 = -10(2 + -1x)
(7 + 21x) + 6 = -10(2 + -1x)

Reorder the terms:
7 + 6 + 21x = -10(2 + -1x)

Combine like terms: 7 + 6 = 13
13 + 21x = -10(2 + -1x)
13 + 21x = (2 * -10 + -1x * -10)
13 + 21x = (-20 + 10x)

Solving
13 + 21x = -20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
13 + 21x + -10x = -20 + 10x + -10x

Combine like terms: 21x + -10x = 11x
13 + 11x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
13 + 11x = -20 + 0
13 + 11x = -20

Add '-13' to each side of the equation.
13 + -13 + 11x = -20 + -13

Combine like terms: 13 + -13 = 0
0 + 11x = -20 + -13
11x = -20 + -13

Combine like terms: -20 + -13 = -33
11x = -33

Divide each side by '11'.
x = -3

Simplifying
x = -3

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