21(x-1)-14(x-1)=12x

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Solution for 21(x-1)-14(x-1)=12x equation:


Simplifying
21(x + -1) + -14(x + -1) = 12x

Reorder the terms:
21(-1 + x) + -14(x + -1) = 12x
(-1 * 21 + x * 21) + -14(x + -1) = 12x
(-21 + 21x) + -14(x + -1) = 12x

Reorder the terms:
-21 + 21x + -14(-1 + x) = 12x
-21 + 21x + (-1 * -14 + x * -14) = 12x
-21 + 21x + (14 + -14x) = 12x

Reorder the terms:
-21 + 14 + 21x + -14x = 12x

Combine like terms: -21 + 14 = -7
-7 + 21x + -14x = 12x

Combine like terms: 21x + -14x = 7x
-7 + 7x = 12x

Solving
-7 + 7x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-7 + 7x + -12x = 12x + -12x

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

Combine like terms: 12x + -12x = 0
-7 + -5x = 0

Add '7' to each side of the equation.
-7 + 7 + -5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 0 + 7
-5x = 0 + 7

Combine like terms: 0 + 7 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

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