7(3-x)=8(4-2x)

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Solution for 7(3-x)=8(4-2x) equation:


Simplifying
7(3 + -1x) = 8(4 + -2x)
(3 * 7 + -1x * 7) = 8(4 + -2x)
(21 + -7x) = 8(4 + -2x)
21 + -7x = (4 * 8 + -2x * 8)
21 + -7x = (32 + -16x)

Solving
21 + -7x = 32 + -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 + -7x + 16x = 32 + -16x + 16x

Combine like terms: -7x + 16x = 9x
21 + 9x = 32 + -16x + 16x

Combine like terms: -16x + 16x = 0
21 + 9x = 32 + 0
21 + 9x = 32

Add '-21' to each side of the equation.
21 + -21 + 9x = 32 + -21

Combine like terms: 21 + -21 = 0
0 + 9x = 32 + -21
9x = 32 + -21

Combine like terms: 32 + -21 = 11
9x = 11

Divide each side by '9'.
x = 1.222222222

Simplifying
x = 1.222222222

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