Solve 1/2x+180=6x-90^13

$$\frac { 1 } { 2 } x + 180 = 6 x - 90 ^ { 13 }$$

Solve for x

$$x=\frac{50837316566580000000000360}{11}\approx 4.621574233 \cdot 10^{24}$$

Steps for Solving Linear Equation

Calculate 90 to the power of 13 and get 25418658283290000000000000.

$$\frac{1}{2}x+180=6x-25418658283290000000000000$$

Subtract 6x from both sides.

$$\frac{1}{2}x+180-6x=-25418658283290000000000000$$

Combine \frac{1}{2}x and -6x to get -\frac{11}{2}x.

$$-\frac{11}{2}x+180=-25418658283290000000000000$$

Subtract 180 from both sides.

$$-\frac{11}{2}x=-25418658283290000000000000-180$$

Subtract 180 from -25418658283290000000000000 to get -25418658283290000000000180.

$$-\frac{11}{2}x=-25418658283290000000000180$$

Multiply both sides by -\frac{2}{11}, the reciprocal of -\frac{11}{2}.

$$x=-25418658283290000000000180\left(-\frac{2}{11}\right)$$

Express -25418658283290000000000180\left(-\frac{2}{11}\right) as a single fraction.

$$x=\frac{-25418658283290000000000180\left(-2\right)}{11}$$

Multiply -25418658283290000000000180 and -2 to get 50837316566580000000000360.

$$x=\frac{50837316566580000000000360}{11}$$