Solve 15*10^3*0.7/400=3.5*10^2*x/320

$$\frac { 15 \times 10 ^ { 3 } \times 0.7 } { 400 } = \frac { 3.5 \times 10 ^ { 2 } \times x } { 320 }$$

Solve for x

$$x=24$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 1600, the least common multiple of 400,320.

$$4\times 15\times 10^{3}\times 0.7=5\times 3.5\times 10^{2}x$$

Multiply 4 and 15 to get 60.

$$60\times 10^{3}\times 0.7=5\times 3.5\times 10^{2}x$$

Calculate 10 to the power of 3 and get 1000.

$$60\times 1000\times 0.7=5\times 3.5\times 10^{2}x$$

Multiply 60 and 1000 to get 60000.

$$60000\times 0.7=5\times 3.5\times 10^{2}x$$

Multiply 60000 and 0.7 to get 42000.

$$42000=5\times 3.5\times 10^{2}x$$

Multiply 5 and 3.5 to get 17.5.

$$42000=17.5\times 10^{2}x$$

Calculate 10 to the power of 2 and get 100.

$$42000=17.5\times 100x$$

Multiply 17.5 and 100 to get 1750.

$$42000=1750x$$

Swap sides so that all variable terms are on the left hand side.

$$1750x=42000$$

Divide both sides by 1750.

$$x=\frac{42000}{1750}$$

Divide 42000 by 1750 to get 24.

$$x=24$$