Let's solve your equation step-by-step.
2(x+4)=−5x+1
Step 1: Simplify both sides of the equation.
2(x+4)=−5x+1
(2)(x)+(2)(4)=−5x+1(Distribute)
2x+8=−5x+1
Step 2: Add 5x to both sides.
2x+8+5x=−5x+1+5x
7x+8=1
Step 3: Subtract 8 from both sides.
7x+8−8=1−8
7x=−7
Step 4: Divide both sides by 7.
7x
7
=
−7
7
x=−1
Answer:
x=−1