Solve 2*1x-6*45=3*15-4*3x

$$2 \cdot 1 x - 6 \cdot 45 = 3 \cdot 15 - 4 \cdot 3 x$$

Solve for x

$$x = \frac{45}{2} = 22\frac{1}{2} = 22.5$$

Steps for Solving Linear Equation

Multiply 2 and 1 to get 2.

$$2x-6\times 45=3\times 15-4\times 3x$$

Multiply 6 and 45 to get 270.

$$2x-270=3\times 15-4\times 3x$$

Multiply 3 and 15 to get 45.

$$2x-270=45-4\times 3x$$

Multiply 4 and 3 to get 12.

$$2x-270=45-12x$$

Add 12x to both sides.

$$2x-270+12x=45$$

Combine 2x and 12x to get 14x.

$$14x-270=45$$

Add 270 to both sides.

$$14x=45+270$$

Add 45 and 270 to get 315.

$$14x=315$$

Divide both sides by 14.

$$x=\frac{315}{14}$$

Reduce the fraction \frac{315}{14} to lowest terms by extracting and canceling out 7.

$$x=\frac{45}{2}$$