3x+7=3(7x-28)

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Solution for 3x+7=3(7x-28) equation:


Simplifying
3x + 7 = 3(7x + -28)

Reorder the terms:
7 + 3x = 3(7x + -28)

Reorder the terms:
7 + 3x = 3(-28 + 7x)
7 + 3x = (-28 * 3 + 7x * 3)
7 + 3x = (-84 + 21x)

Solving
7 + 3x = -84 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
7 + 3x + -21x = -84 + 21x + -21x

Combine like terms: 3x + -21x = -18x
7 + -18x = -84 + 21x + -21x

Combine like terms: 21x + -21x = 0
7 + -18x = -84 + 0
7 + -18x = -84

Add '-7' to each side of the equation.
7 + -7 + -18x = -84 + -7

Combine like terms: 7 + -7 = 0
0 + -18x = -84 + -7
-18x = -84 + -7

Combine like terms: -84 + -7 = -91
-18x = -91

Divide each side by '-18'.
x = 5.055555556

Simplifying
x = 5.055555556

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