Solve 6x(7)+104=16x(7)-114

$$6 x ( 7 ) + 104 = 16 x ( 7 ) - 114$$

Solve for x

$$x = \frac{109}{35} = 3\frac{4}{35} \approx 3.114285714$$

Steps for Solving Linear Equation

Multiply 6 and 7 to get 42.

$$42x+104=16x\times 7-114$$

Multiply 16 and 7 to get 112.

$$42x+104=112x-114$$

Subtract 112x from both sides.

$$42x+104-112x=-114$$

Combine 42x and -112x to get -70x.

$$-70x+104=-114$$

Subtract 104 from both sides.

$$-70x=-114-104$$

Subtract 104 from -114 to get -218.

$$-70x=-218$$

Divide both sides by -70.

$$x=\frac{-218}{-70}$$

Reduce the fraction \frac{-218}{-70} to lowest terms by extracting and canceling out -2.

$$x=\frac{109}{35}$$