3x(6)-3(7.5x-2)+4=21x

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Solution for 3x(6)-3(7.5x-2)+4=21x equation:


Simplifying
3x(6) + -3(7.5x + -2) + 4 = 21x

Reorder the terms for easier multiplication:
3 * 6x + -3(7.5x + -2) + 4 = 21x

Multiply 3 * 6
18x + -3(7.5x + -2) + 4 = 21x

Reorder the terms:
18x + -3(-2 + 7.5x) + 4 = 21x
18x + (-2 * -3 + 7.5x * -3) + 4 = 21x
18x + (6 + -22.5x) + 4 = 21x

Reorder the terms:
6 + 4 + 18x + -22.5x = 21x

Combine like terms: 6 + 4 = 10
10 + 18x + -22.5x = 21x

Combine like terms: 18x + -22.5x = -4.5x
10 + -4.5x = 21x

Solving
10 + -4.5x = 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.
10 + -4.5x + -21x = 21x + -21x

Combine like terms: -4.5x + -21x = -25.5x
10 + -25.5x = 21x + -21x

Combine like terms: 21x + -21x = 0
10 + -25.5x = 0

Add '-10' to each side of the equation.
10 + -10 + -25.5x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -25.5x = 0 + -10
-25.5x = 0 + -10

Combine like terms: 0 + -10 = -10
-25.5x = -10

Divide each side by '-25.5'.
x = 0.3921568627

Simplifying
x = 0.3921568627

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