Solve 4x-7/3-5x-11=x-1/2

$$\frac { 4 x - 7 } { 3 } - 5 x - 11 = \frac { x - 1 } { 2 }$$

Solve for x

$$x = -\frac{77}{25} = -3\frac{2}{25} = -3.08$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2\left(4x-7\right)-30x-66=3\left(x-1\right)$$

Use the distributive property to multiply 2 by 4x-7.

$$8x-14-30x-66=3\left(x-1\right)$$

Combine 8x and -30x to get -22x.

$$-22x-14-66=3\left(x-1\right)$$

Subtract 66 from -14 to get -80.

$$-22x-80=3\left(x-1\right)$$

Use the distributive property to multiply 3 by x-1.

$$-22x-80=3x-3$$

Subtract 3x from both sides.

$$-22x-80-3x=-3$$

Combine -22x and -3x to get -25x.

$$-25x-80=-3$$

Add 80 to both sides.

$$-25x=-3+80$$

Add -3 and 80 to get 77.

$$-25x=77$$

Divide both sides by -25.

$$x=\frac{77}{-25}$$

Fraction \frac{77}{-25} can be rewritten as -\frac{77}{25} by extracting the negative sign.

$$x=-\frac{77}{25}$$