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

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

Solve for x

$$x = \frac{47}{18} = 2\frac{11}{18} \approx 2.611111111$$

Steps for Solving Linear Equation

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

$$12-4x=7\left(2x-5\right)$$

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

$$12-4x=14x-35$$

Subtract 14x from both sides.

$$12-4x-14x=-35$$

Combine -4x and -14x to get -18x.

$$12-18x=-35$$

Subtract 12 from both sides.

$$-18x=-35-12$$

Subtract 12 from -35 to get -47.

$$-18x=-47$$

Divide both sides by -18.

$$x=\frac{-47}{-18}$$

Fraction \frac{-47}{-18} can be simplified to \frac{47}{18} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{47}{18}$$