Question

solve for x: 10 + 10(x + 3) = -x - 10(-x + 1)

Explanation:

Step1: Expand both sides of the equation

Left side: \(10 + 10(x + 3)=10+10x + 30=10x + 40\)
Right side: \(-x-10(-x + 1)=-x + 10x-10 = 9x-10\)

Step2: Set the expanded expressions equal and solve for x

\(10x + 40=9x - 10\)
Subtract \(9x\) from both sides: \(10x-9x + 40=9x-9x - 10\)
\(x + 40=-10\)
Subtract 40 from both sides: \(x + 40-40=-10 - 40\)
\(x=-50\)

Answer:

\(x = -50\)