Solve 5(x-7)-2(3x-4)=3x

$$5(x-7)-2(3x-4)=3x$$

Solve for x

$$x = -\frac{27}{4} = -6\frac{3}{4} = -6.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-7.

$$5x-35-2\left(3x-4\right)=3x$$

Use the distributive property to multiply -2 by 3x-4.

$$5x-35-6x+8=3x$$

Combine 5x and -6x to get -x.

$$-x-35+8=3x$$

Add -35 and 8 to get -27.

$$-x-27=3x$$

Subtract 3x from both sides.

$$-x-27-3x=0$$

Combine -x and -3x to get -4x.

$$-4x-27=0$$

Add 27 to both sides. Anything plus zero gives itself.

$$-4x=27$$

Divide both sides by -4.

$$x=\frac{27}{-4}$$

Fraction \frac{27}{-4} can be rewritten as -\frac{27}{4} by extracting the negative sign.

$$x=-\frac{27}{4}$$