Solve 15left(x-1right)+17x=1-14left(3x+1right)

$$15 \left( x-1 \right) +17x=1-14 \left( 3x+1 \right)$$

Solve for x

$$x=\frac{1}{37}\approx 0.027027027$$

Steps for Solving Linear Equation

Use the distributive property to multiply 15 by x-1.

$$15x-15+17x=1-14\left(3x+1\right)$$

Combine 15x and 17x to get 32x.

$$32x-15=1-14\left(3x+1\right)$$

Use the distributive property to multiply -14 by 3x+1.

$$32x-15=1-42x-14$$

Subtract 14 from 1 to get -13.

$$32x-15=-13-42x$$

Add 42x to both sides.

$$32x-15+42x=-13$$

Combine 32x and 42x to get 74x.

$$74x-15=-13$$

Add 15 to both sides.

$$74x=-13+15$$

Add -13 and 15 to get 2.

$$74x=2$$

Divide both sides by 74.

$$x=\frac{2}{74}$$

Reduce the fraction \frac{2}{74} to lowest terms by extracting and canceling out 2.

$$x=\frac{1}{37}$$