Solve 2x-5(x+3)=4/7

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

Solve for x

$$x = -\frac{109}{21} = -5\frac{4}{21} \approx -5.19047619$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by x+3.

$$2x-5x-15=\frac{4}{7}$$

Combine 2x and -5x to get -3x.

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

Add 15 to both sides.

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

Convert 15 to fraction \frac{105}{7}.

$$-3x=\frac{4}{7}+\frac{105}{7}$$

Since \frac{4}{7} and \frac{105}{7} have the same denominator, add them by adding their numerators.

$$-3x=\frac{4+105}{7}$$

Add 4 and 105 to get 109.

$$-3x=\frac{109}{7}$$

Divide both sides by -3.

$$x=\frac{\frac{109}{7}}{-3}$$

Express \frac{\frac{109}{7}}{-3} as a single fraction.

$$x=\frac{109}{7\left(-3\right)}$$

Multiply 7 and -3 to get -21.

$$x=\frac{109}{-21}$$

Fraction \frac{109}{-21} can be rewritten as -\frac{109}{21} by extracting the negative sign.

$$x=-\frac{109}{21}$$