Solve 5x-4*(6x+5)+17x+2(x-15)=5*(6x-6)-4*(1+3x)

$$5 x - 4 \cdot ( 6 x + 5 ) + 17 x + 2 ( x - 15 ) = 5 \cdot ( 6 x - 6 ) - 4 \cdot ( 1 + 3 x )$$

Solve for x

$$x=-\frac{8}{9}\approx -0.888888889$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 6x+5.

$$5x-24x-20+17x+2\left(x-15\right)=5\left(6x-6\right)-4\left(1+3x\right)$$

Combine 5x and -24x to get -19x.

$$-19x-20+17x+2\left(x-15\right)=5\left(6x-6\right)-4\left(1+3x\right)$$

Combine -19x and 17x to get -2x.

$$-2x-20+2\left(x-15\right)=5\left(6x-6\right)-4\left(1+3x\right)$$

Use the distributive property to multiply 2 by x-15.

$$-2x-20+2x-30=5\left(6x-6\right)-4\left(1+3x\right)$$

Combine -2x and 2x to get 0.

$$-20-30=5\left(6x-6\right)-4\left(1+3x\right)$$

Subtract 30 from -20 to get -50.

$$-50=5\left(6x-6\right)-4\left(1+3x\right)$$

Use the distributive property to multiply 5 by 6x-6.

$$-50=30x-30-4\left(1+3x\right)$$

Use the distributive property to multiply -4 by 1+3x.

$$-50=30x-30-4-12x$$

Subtract 4 from -30 to get -34.

$$-50=30x-34-12x$$

Combine 30x and -12x to get 18x.

$$-50=18x-34$$

Swap sides so that all variable terms are on the left hand side.

$$18x-34=-50$$

Add 34 to both sides.

$$18x=-50+34$$

Add -50 and 34 to get -16.

$$18x=-16$$

Divide both sides by 18.

$$x=\frac{-16}{18}$$

Reduce the fraction \frac{-16}{18} to lowest terms by extracting and canceling out 2.

$$x=-\frac{8}{9}$$