Solve 5(2x+1)-4(5x-1)=2(x-6)-4(6x-5)

$$5(2x+1)-4(5x-1)=2(x-6)-4(6x-5)$$

Solve for x

$$x=-\frac{1}{12}\approx -0.083333333$$

Steps for Solving Linear Equation

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

$$10x+5-4\left(5x-1\right)=2\left(x-6\right)-4\left(6x-5\right)$$

Use the distributive property to multiply -4 by 5x-1.

$$10x+5-20x+4=2\left(x-6\right)-4\left(6x-5\right)$$

Combine 10x and -20x to get -10x.

$$-10x+5+4=2\left(x-6\right)-4\left(6x-5\right)$$

Add 5 and 4 to get 9.

$$-10x+9=2\left(x-6\right)-4\left(6x-5\right)$$

Use the distributive property to multiply 2 by x-6.

$$-10x+9=2x-12-4\left(6x-5\right)$$

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

$$-10x+9=2x-12-24x+20$$

Combine 2x and -24x to get -22x.

$$-10x+9=-22x-12+20$$

Add -12 and 20 to get 8.

$$-10x+9=-22x+8$$

Add 22x to both sides.

$$-10x+9+22x=8$$

Combine -10x and 22x to get 12x.

$$12x+9=8$$

Subtract 9 from both sides.

$$12x=8-9$$

Subtract 9 from 8 to get -1.

$$12x=-1$$

Divide both sides by 12.

$$x=\frac{-1}{12}$$

Fraction \frac{-1}{12} can be rewritten as -\frac{1}{12} by extracting the negative sign.

$$x=-\frac{1}{12}$$