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Solve for x
Steps for Solving Linear Equation
Multiply both sides of the equation by , the least common multiple of .
Use the distributive property to multiply by .
Use the distributive property to multiply by .
Subtract from to get .
Combine and to get .
Use the distributive property to multiply by .
Add and to get .
Add to both sides.
Combine and to get .
Add to both sides.
Add and to get .
Divide both sides by .
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4\left(5x-1\right)-10\left(1+x\right)=60-5\left(x-1\right)
Multiply both sides of the equation by 20, the least common multiple of 5,2,4.
20x-4-10\left(1+x\right)=60-5\left(x-1\right)
Use the distributive property to multiply 4 by 5x-1.
20x-4-10-10x=60-5\left(x-1\right)
Use the distributive property to multiply -10 by 1+x.
20x-14-10x=60-5\left(x-1\right)
Subtract 10 from -4 to get -14.
10x-14=60-5\left(x-1\right)
Combine 20x and -10x to get 10x.
10x-14=60-5x+5
Use the distributive property to multiply -5 by x-1.
10x-14=65-5x
Add 60 and 5 to get 65.
10x-14+5x=65
Add 5x to both sides.
15x-14=65
Combine 10x and 5x to get 15x.
15x=65+14
Add 14 to both sides.
15x=79
Add 65 and 14 to get 79.
x=\frac{79}{15}
Divide both sides by 15.
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