Solve 2*x*7/9+6/2=(x+1)/4

$$\frac { 2 \cdot x \cdot 7 } { 9 } + \frac { 6 } { 2 } = \frac { ( x + 1 ) } { 4 }$$

Solve for x

$$x = -\frac{99}{47} = -2\frac{5}{47} \approx -2.106382979$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 36, the least common multiple of 9,2,4.

$$4\times 2x\times 7+18\times 6=9\left(x+1\right)$$

Multiply 4 and 2 to get 8.

$$8x\times 7+18\times 6=9\left(x+1\right)$$

Multiply 8 and 7 to get 56.

$$56x+18\times 6=9\left(x+1\right)$$

Multiply 18 and 6 to get 108.

$$56x+108=9\left(x+1\right)$$

Use the distributive property to multiply 9 by x+1.

$$56x+108=9x+9$$

Subtract 9x from both sides.

$$56x+108-9x=9$$

Combine 56x and -9x to get 47x.

$$47x+108=9$$

Subtract 108 from both sides.

$$47x=9-108$$

Subtract 108 from 9 to get -99.

$$47x=-99$$

Divide both sides by 47.

$$x=\frac{-99}{47}$$

Fraction \frac{-99}{47} can be rewritten as -\frac{99}{47} by extracting the negative sign.

$$x=-\frac{99}{47}$$