Solve 5x+3*(2+x)-1=5x-2+9x

$$5 x + 3 \cdot ( 2 + x ) - 1 = 5 x - 2 + 9 x$$

Solve for x

$$x = \frac{7}{6} = 1\frac{1}{6} \approx 1.166666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2+x.

$$5x+6+3x-1=5x-2+9x$$

Combine 5x and 3x to get 8x.

$$8x+6-1=5x-2+9x$$

Subtract 1 from 6 to get 5.

$$8x+5=5x-2+9x$$

Combine 5x and 9x to get 14x.

$$8x+5=14x-2$$

Subtract 14x from both sides.

$$8x+5-14x=-2$$

Combine 8x and -14x to get -6x.

$$-6x+5=-2$$

Subtract 5 from both sides.

$$-6x=-2-5$$

Subtract 5 from -2 to get -7.

$$-6x=-7$$

Divide both sides by -6.

$$x=\frac{-7}{-6}$$

Fraction \frac{-7}{-6} can be simplified to \frac{7}{6} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{6}$$