3(3x-7)=81(12x-3x)

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Solution for 3(3x-7)=81(12x-3x) equation:


Simplifying
3(3x + -7) = 81(12x + -3x)

Reorder the terms:
3(-7 + 3x) = 81(12x + -3x)
(-7 * 3 + 3x * 3) = 81(12x + -3x)
(-21 + 9x) = 81(12x + -3x)

Combine like terms: 12x + -3x = 9x
-21 + 9x = 81(9x)

Remove parenthesis around (9x)
-21 + 9x = 81 * 9x

Multiply 81 * 9
-21 + 9x = 729x

Solving
-21 + 9x = 729x

Solving for variable 'x'.

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

Add '-729x' to each side of the equation.
-21 + 9x + -729x = 729x + -729x

Combine like terms: 9x + -729x = -720x
-21 + -720x = 729x + -729x

Combine like terms: 729x + -729x = 0
-21 + -720x = 0

Add '21' to each side of the equation.
-21 + 21 + -720x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -720x = 0 + 21
-720x = 0 + 21

Combine like terms: 0 + 21 = 21
-720x = 21

Divide each side by '-720'.
x = -0.02916666667

Simplifying
x = -0.02916666667

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