Solve 6(1-4x)+7(2+5x)=5

$$6 ( 1 - 4 x ) + 7 ( 2 + 5 x ) = 5$$

Solve for x

$$x = -\frac{15}{11} = -1\frac{4}{11} \approx -1.363636364$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 1-4x.

$$6-24x+7\left(2+5x\right)=5$$

Use the distributive property to multiply 7 by 2+5x.

$$6-24x+14+35x=5$$

Add 6 and 14 to get 20.

$$20-24x+35x=5$$

Combine -24x and 35x to get 11x.

$$20+11x=5$$

Subtract 20 from both sides.

$$11x=5-20$$

Subtract 20 from 5 to get -15.

$$11x=-15$$

Divide both sides by 11.

$$x=\frac{-15}{11}$$

Fraction \frac{-15}{11} can be rewritten as -\frac{15}{11} by extracting the negative sign.

$$x=-\frac{15}{11}$$