-3+7x+7=8(x+3)-21

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Solution for -3+7x+7=8(x+3)-21 equation:


Simplifying
-3 + 7x + 7 = 8(x + 3) + -21

Reorder the terms:
-3 + 7 + 7x = 8(x + 3) + -21

Combine like terms: -3 + 7 = 4
4 + 7x = 8(x + 3) + -21

Reorder the terms:
4 + 7x = 8(3 + x) + -21
4 + 7x = (3 * 8 + x * 8) + -21
4 + 7x = (24 + 8x) + -21

Reorder the terms:
4 + 7x = 24 + -21 + 8x

Combine like terms: 24 + -21 = 3
4 + 7x = 3 + 8x

Solving
4 + 7x = 3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
4 + 7x + -8x = 3 + 8x + -8x

Combine like terms: 7x + -8x = -1x
4 + -1x = 3 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -1x = 3 + 0
4 + -1x = 3

Add '-4' to each side of the equation.
4 + -4 + -1x = 3 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 3 + -4
-1x = 3 + -4

Combine like terms: 3 + -4 = -1
-1x = -1

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

Simplifying
x = 1

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