What is the answer to 3(x-2)+6=4(2-x) ?

The answer to 3(x-2)+6=4(2-x) is x= 8/7

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3(x-2)+6=4(2-x)

3 (x - 2) + 6 = 4 (2 - x)

x = \frac{8}{7}

Decimal Notation

x = 1.14285 \dots

Solution steps

3 (x - 2) + 6 = 4 (2 - x)

Expand

3 (x - 2) + 6 : 3 x

Expand

4 (2 - x) : 8 - 4 x

3 x = 8 - 4 x

Move

4 x

to the left side

7 x = 8

Divide both sides by

7

x = \frac{8}{7}

\frac{x + 3}{2} - \frac{3 x - 1}{4} = 1

- 1 - x = 0

\frac{x}{4} + 3 = 5

- 56 = 5 a - 115 a - 11

9 x + 10 = 7 x + 18