Solve 42:x+5=6*(-2)+3

$$42 : x + 5 = 6 \cdot ( - 2 ) + 3$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$42+x\times 5=6\left(-2\right)x+x\times 3$$

Multiply 6 and -2 to get -12.

$$42+x\times 5=-12x+x\times 3$$

Combine -12x and x\times 3 to get -9x.

$$42+x\times 5=-9x$$

Add 9x to both sides.

$$42+x\times 5+9x=0$$

Combine x\times 5 and 9x to get 14x.

$$42+14x=0$$

Subtract 42 from both sides. Anything subtracted from zero gives its negation.

$$14x=-42$$

Divide both sides by 14.

$$x=\frac{-42}{14}$$

Divide -42 by 14 to get -3.

$$x=-3$$