7x-3(4x-5)=12+21x

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Solution for 7x-3(4x-5)=12+21x equation:


Simplifying
7x + -3(4x + -5) = 12 + 21x

Reorder the terms:
7x + -3(-5 + 4x) = 12 + 21x
7x + (-5 * -3 + 4x * -3) = 12 + 21x
7x + (15 + -12x) = 12 + 21x

Reorder the terms:
15 + 7x + -12x = 12 + 21x

Combine like terms: 7x + -12x = -5x
15 + -5x = 12 + 21x

Solving
15 + -5x = 12 + 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.
15 + -5x + -21x = 12 + 21x + -21x

Combine like terms: -5x + -21x = -26x
15 + -26x = 12 + 21x + -21x

Combine like terms: 21x + -21x = 0
15 + -26x = 12 + 0
15 + -26x = 12

Add '-15' to each side of the equation.
15 + -15 + -26x = 12 + -15

Combine like terms: 15 + -15 = 0
0 + -26x = 12 + -15
-26x = 12 + -15

Combine like terms: 12 + -15 = -3
-26x = -3

Divide each side by '-26'.
x = 0.1153846154

Simplifying
x = 0.1153846154

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