7(8-3x)=21x-49

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Solution for 7(8-3x)=21x-49 equation:


Simplifying
7(8 + -3x) = 21x + -49
(8 * 7 + -3x * 7) = 21x + -49
(56 + -21x) = 21x + -49

Reorder the terms:
56 + -21x = -49 + 21x

Solving
56 + -21x = -49 + 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.
56 + -21x + -21x = -49 + 21x + -21x

Combine like terms: -21x + -21x = -42x
56 + -42x = -49 + 21x + -21x

Combine like terms: 21x + -21x = 0
56 + -42x = -49 + 0
56 + -42x = -49

Add '-56' to each side of the equation.
56 + -56 + -42x = -49 + -56

Combine like terms: 56 + -56 = 0
0 + -42x = -49 + -56
-42x = -49 + -56

Combine like terms: -49 + -56 = -105
-42x = -105

Divide each side by '-42'.
x = 2.5

Simplifying
x = 2.5

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