Solve these four equations a) x/3=x+4 b) m-3=4/5m-2 c) x/5-4=2-2x/5 d) 1/2+w=8-3w/2
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A)

x3=x+4Step 1: Simplify both sides of the equation.13x=x+4Step 2: Subtract x from both sides.13x−x=x+4−x−23x=4Step 3: Multiply both sides by 3/(-2).(3−2)*(−23x)=(3−2)*(4)x=−6x=−6

B)

m−3=45m−2Step 1: Subtract 4/5m from both sides.m−3−45m=45m−2−45m15m−3=−2Step 2: Add 3 to both sides.15m−3+3=−2+315m=1Step 3: Multiply both sides by 5.5*(15m)=(5)*(1)m=5m=5

C)

x5−4=2−2(x5)Step 1: Simplify both sides of the equation.x5−4=2−2(x5) Simplify: (Show steps) 15x−4=−25x+2Step 2: Add 2/5x to both sides.15x−4+25x=−25x+2+25x35x−4=2Step 3: Add 4 to both sides.35x−4+4=2+435x=6Step 4: Multiply both sides by 5/3.(53)*(35x)=(53)*(6)x=10x=10

D)
 
12+w=8−3(w2)Step 1: Simplify both sides of the equation.12+w=8−3(w2) Simplify: (Show steps) w+12=−32w+8Step 2: Add 3/2w to both sides.w+12+32w=−32w+8+32w52w+12=8Step 3: Subtract 1/2 from both sides.52w+12−12=8−1252w=152Step 4: Multiply both sides by 2/5.(25)*(52w)=(25)*(152)w=3w=3

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