Solve 7(1/4+x)=61x

$$7 ( \frac { 1 } { 4 } + x ) = 61 x$$

Solve for x

$$x=\frac{7}{216}\approx 0.032407407$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by \frac{1}{4}+x.

$$7\times \frac{1}{4}+7x=61x$$

Multiply 7 and \frac{1}{4} to get \frac{7}{4}.

$$\frac{7}{4}+7x=61x$$

Subtract 61x from both sides.

$$\frac{7}{4}+7x-61x=0$$

Combine 7x and -61x to get -54x.

$$\frac{7}{4}-54x=0$$

Subtract \frac{7}{4} from both sides. Anything subtracted from zero gives its negation.

$$-54x=-\frac{7}{4}$$

Divide both sides by -54.

$$x=\frac{-\frac{7}{4}}{-54}$$

Express \frac{-\frac{7}{4}}{-54} as a single fraction.

$$x=\frac{-7}{4\left(-54\right)}$$

Multiply 4 and -54 to get -216.

$$x=\frac{-7}{-216}$$

Fraction \frac{-7}{-216} can be simplified to \frac{7}{216} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{216}$$