3(7-x)=8(2x+1)

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Solution for 3(7-x)=8(2x+1) equation:


Simplifying
3(7 + -1x) = 8(2x + 1)
(7 * 3 + -1x * 3) = 8(2x + 1)
(21 + -3x) = 8(2x + 1)

Reorder the terms:
21 + -3x = 8(1 + 2x)
21 + -3x = (1 * 8 + 2x * 8)
21 + -3x = (8 + 16x)

Solving
21 + -3x = 8 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
21 + -3x + -16x = 8 + 16x + -16x

Combine like terms: -3x + -16x = -19x
21 + -19x = 8 + 16x + -16x

Combine like terms: 16x + -16x = 0
21 + -19x = 8 + 0
21 + -19x = 8

Add '-21' to each side of the equation.
21 + -21 + -19x = 8 + -21

Combine like terms: 21 + -21 = 0
0 + -19x = 8 + -21
-19x = 8 + -21

Combine like terms: 8 + -21 = -13
-19x = -13

Divide each side by '-19'.
x = 0.6842105263

Simplifying
x = 0.6842105263

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