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

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

Solve for x

$$x=-\frac{2}{11}\approx -0.181818182$$

Steps for Solving Linear Equation

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

$$3x-4=4x-2\left(1-5x\right)$$

Use the distributive property to multiply -2 by 1-5x.

$$3x-4=4x-2+10x$$

Combine 4x and 10x to get 14x.

$$3x-4=14x-2$$

Subtract 14x from both sides.

$$3x-4-14x=-2$$

Combine 3x and -14x to get -11x.

$$-11x-4=-2$$

Add 4 to both sides.

$$-11x=-2+4$$

Add -2 and 4 to get 2.

$$-11x=2$$

Divide both sides by -11.

$$x=\frac{2}{-11}$$

Fraction \frac{2}{-11} can be rewritten as -\frac{2}{11} by extracting the negative sign.

$$x=-\frac{2}{11}$$