Solve 5*3(x-1)/5*4=25-x/2*10+7*10/2*10

$$5 \times \frac { 3 ( x - 1 ) } { 5 \times 4 } = \frac { 25 - x } { 2 \times 10 } + \frac { 7 \times 10 } { 2 \times 10 }$$

Solve for x

$$x = \frac{55}{8} = 6\frac{7}{8} = 6.875$$

Steps for Solving Linear Equation

Multiply 5 and 4 to get 20.

$$5\times \frac{3\left(x-1\right)}{20}=\frac{25-x}{2\times 10}+\frac{7\times 10}{2\times 10}$$

Cancel out 20, the greatest common factor in 5 and 20.

$$\frac{3\left(x-1\right)}{4}=\frac{25-x}{2\times 10}+\frac{7\times 10}{2\times 10}$$

Multiply 2 and 10 to get 20.

$$\frac{3\left(x-1\right)}{4}=\frac{25-x}{20}+\frac{7\times 10}{2\times 10}$$

Cancel out 2\times 5 in both numerator and denominator.

$$\frac{3\left(x-1\right)}{4}=\frac{25-x}{20}+\frac{7}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 20 and 2 is 20. Multiply \frac{7}{2} times \frac{10}{10}.

$$\frac{3\left(x-1\right)}{4}=\frac{25-x}{20}+\frac{7\times 10}{20}$$

Since \frac{25-x}{20} and \frac{7\times 10}{20} have the same denominator, add them by adding their numerators.

$$\frac{3\left(x-1\right)}{4}=\frac{25-x+7\times 10}{20}$$

Do the multiplications in 25-x+7\times 10.

$$\frac{3\left(x-1\right)}{4}=\frac{25-x+70}{20}$$

Combine like terms in 25-x+70.

$$\frac{3\left(x-1\right)}{4}=\frac{95-x}{20}$$

Use the distributive property to multiply 3 by x-1.

$$\frac{3x-3}{4}=\frac{95-x}{20}$$

Divide each term of 3x-3 by 4 to get \frac{3}{4}x-\frac{3}{4}.

$$\frac{3}{4}x-\frac{3}{4}=\frac{95-x}{20}$$

Divide each term of 95-x by 20 to get \frac{19}{4}-\frac{1}{20}x.

$$\frac{3}{4}x-\frac{3}{4}=\frac{19}{4}-\frac{1}{20}x$$

Add \frac{1}{20}x to both sides.

$$\frac{3}{4}x-\frac{3}{4}+\frac{1}{20}x=\frac{19}{4}$$

Combine \frac{3}{4}x and \frac{1}{20}x to get \frac{4}{5}x.

$$\frac{4}{5}x-\frac{3}{4}=\frac{19}{4}$$

Add \frac{3}{4} to both sides.

$$\frac{4}{5}x=\frac{19}{4}+\frac{3}{4}$$

Since \frac{19}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{4}{5}x=\frac{19+3}{4}$$

Add 19 and 3 to get 22.

$$\frac{4}{5}x=\frac{22}{4}$$

Reduce the fraction \frac{22}{4} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}x=\frac{11}{2}$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$x=\frac{11}{2}\times \frac{5}{4}$$

Multiply \frac{11}{2} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{11\times 5}{2\times 4}$$

Do the multiplications in the fraction \frac{11\times 5}{2\times 4}.

$$x=\frac{55}{8}$$