Solve 6=-2*4/7+x

$$6=-2 \times \frac{ 4 }{ 7 } +x$$

Solve for x

$$x = \frac{50}{7} = 7\frac{1}{7} \approx 7.142857143$$

Steps for Solving Linear Equation

Express -2\times \frac{4}{7} as a single fraction.

$$6=\frac{-2\times 4}{7}+x$$

Multiply -2 and 4 to get -8.

$$6=\frac{-8}{7}+x$$

Fraction \frac{-8}{7} can be rewritten as -\frac{8}{7} by extracting the negative sign.

$$6=-\frac{8}{7}+x$$

Swap sides so that all variable terms are on the left hand side.

$$-\frac{8}{7}+x=6$$

Add \frac{8}{7} to both sides.

$$x=6+\frac{8}{7}$$

Convert 6 to fraction \frac{42}{7}.

$$x=\frac{42}{7}+\frac{8}{7}$$

Since \frac{42}{7} and \frac{8}{7} have the same denominator, add them by adding their numerators.

$$x=\frac{42+8}{7}$$

Add 42 and 8 to get 50.

$$x=\frac{50}{7}$$