Solve x+10/2=7(x-1)

$$\frac { x + 10 } { 2 } = 7 ( x - 1 )$$

Solve for x

$$x = \frac{24}{13} = 1\frac{11}{13} \approx 1.846153846$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$x+10=14\left(x-1\right)$$

Use the distributive property to multiply 14 by x-1.

$$x+10=14x-14$$

Subtract 14x from both sides.

$$x+10-14x=-14$$

Combine x and -14x to get -13x.

$$-13x+10=-14$$

Subtract 10 from both sides.

$$-13x=-14-10$$

Subtract 10 from -14 to get -24.

$$-13x=-24$$

Divide both sides by -13.

$$x=\frac{-24}{-13}$$

Fraction \frac{-24}{-13} can be simplified to \frac{24}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{24}{13}$$