Solve 2/7(3x+7)=23/2x

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

Solve for x

$$x=\frac{28}{37}\approx 0.756756757$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 7,2.

$$4\left(3x+7\right)=7\left(2\times 2+3\right)x$$

Use the distributive property to multiply 4 by 3x+7.

$$12x+28=7\left(2\times 2+3\right)x$$

Multiply 2 and 2 to get 4.

$$12x+28=7\left(4+3\right)x$$

Add 4 and 3 to get 7.

$$12x+28=7\times 7x$$

Multiply 7 and 7 to get 49.

$$12x+28=49x$$

Subtract 49x from both sides.

$$12x+28-49x=0$$

Combine 12x and -49x to get -37x.

$$-37x+28=0$$

Subtract 28 from both sides. Anything subtracted from zero gives its negation.

$$-37x=-28$$

Divide both sides by -37.

$$x=\frac{-28}{-37}$$

Fraction \frac{-28}{-37} can be simplified to \frac{28}{37} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{28}{37}$$