Solve x-7=3/4(x+5)

$$x - 7 = \frac { 3 } { 4 } ( x + 5 )$$

Solve for x

$$x=43$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{4} by x+5.

$$x-7=\frac{3}{4}x+\frac{3}{4}\times 5$$

Express \frac{3}{4}\times 5 as a single fraction.

$$x-7=\frac{3}{4}x+\frac{3\times 5}{4}$$

Multiply 3 and 5 to get 15.

$$x-7=\frac{3}{4}x+\frac{15}{4}$$

Subtract \frac{3}{4}x from both sides.

$$x-7-\frac{3}{4}x=\frac{15}{4}$$

Combine x and -\frac{3}{4}x to get \frac{1}{4}x.

$$\frac{1}{4}x-7=\frac{15}{4}$$

Add 7 to both sides.

$$\frac{1}{4}x=\frac{15}{4}+7$$

Convert 7 to fraction \frac{28}{4}.

$$\frac{1}{4}x=\frac{15}{4}+\frac{28}{4}$$

Since \frac{15}{4} and \frac{28}{4} have the same denominator, add them by adding their numerators.

$$\frac{1}{4}x=\frac{15+28}{4}$$

Add 15 and 28 to get 43.

$$\frac{1}{4}x=\frac{43}{4}$$

Multiply both sides by 4, the reciprocal of \frac{1}{4}.

$$x=\frac{43}{4}\times 4$$

Cancel out 4 and 4.

$$x=43$$