What is the answer to 7(4x-9)=-26+6x ?

The answer to 7(4x-9)=-26+6x is x= 37/22

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7(4x-9)=-26+6x

7 (4 x - 9) = - 26 + 6 x

x = \frac{37}{22}

Decimal Notation

x = 1.68181 \dots

Solution steps

7 (4 x - 9) = - 26 + 6 x

Expand

7 (4 x - 9) : 28 x - 63

28 x - 63 = - 26 + 6 x

Move

63

to the right side

28 x = 6 x + 37

Move

6 x

to the left side

22 x = 37

Divide both sides by

22

x = \frac{37}{22}

16

x^{2} - 11 x + 10 = 0

3 x + 4 = 0

\frac{x + 6}{x + 9} < 0

\frac{3 x}{2} = 1 - \frac{5 x}{3}