Solve 42^2-8x+2=4-8^2+7x

$$42 ^ { 2 } - 8 x + 2 = 4 - 8 ^ { 2 } + 7 x$$

Solve for x

$$x = \frac{1826}{15} = 121\frac{11}{15} \approx 121.733333333$$

Steps for Solving Linear Equation

Calculate 42 to the power of 2 and get 1764.

$$1764-8x+2=4-8^{2}+7x$$

Add 1764 and 2 to get 1766.

$$1766-8x=4-8^{2}+7x$$

Calculate 8 to the power of 2 and get 64.

$$1766-8x=4-64+7x$$

Subtract 64 from 4 to get -60.

$$1766-8x=-60+7x$$

Subtract 7x from both sides.

$$1766-8x-7x=-60$$

Combine -8x and -7x to get -15x.

$$1766-15x=-60$$

Subtract 1766 from both sides.

$$-15x=-60-1766$$

Subtract 1766 from -60 to get -1826.

$$-15x=-1826$$

Divide both sides by -15.

$$x=\frac{-1826}{-15}$$

Fraction \frac{-1826}{-15} can be simplified to \frac{1826}{15} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1826}{15}$$