Solve 3.1=1.15^2x-1.5(-2.3x)

$$3.1= { 1.15 }^{ 2 } x-1.5(-2.3x)$$

Solve for x

$$x=\frac{1240}{1909}\approx 0.649554741$$

Steps for Solving Linear Equation

Calculate 1.15 to the power of 2 and get 1.3225.

$$3.1=1.3225x-1.5\left(-2.3\right)x$$

Multiply 1.5 and -2.3 to get -3.45.

$$3.1=1.3225x-\left(-3.45x\right)$$

The opposite of -3.45x is 3.45x.

$$3.1=1.3225x+3.45x$$

Combine 1.3225x and 3.45x to get 4.7725x.

$$3.1=4.7725x$$

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

$$4.7725x=3.1$$

Divide both sides by 4.7725.

$$x=\frac{3.1}{4.7725}$$

Expand \frac{3.1}{4.7725} by multiplying both numerator and the denominator by 10000.

$$x=\frac{31000}{47725}$$

Reduce the fraction \frac{31000}{47725} to lowest terms by extracting and canceling out 25.

$$x=\frac{1240}{1909}$$