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Mean
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Greatest Common Factor
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Order of Operations
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Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
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Solve for x
x = \frac{79}{15} = 5\frac{4}{15} \approx 5.266666667
View solution steps
Steps for Solving Linear Equation
\frac { 5 x - 1 } { 5 } - \frac { 1 + x } { 2 } = 3 - \frac { x - 1 } { 4 }
Multiply both sides of the equation by 20, the least common multiple of 5,2,4.
4\left(5x-1\right)-10\left(1+x\right)=60-5\left(x-1\right)
Use the distributive property to multiply 4 by 5x-1.
20x-4-10\left(1+x\right)=60-5\left(x-1\right)
Use the distributive property to multiply -10 by 1+x.
20x-4-10-10x=60-5\left(x-1\right)
Subtract 10 from -4 to get -14.
20x-14-10x=60-5\left(x-1\right)
Combine 20x and -10x to get 10x.
10x-14=60-5\left(x-1\right)
Use the distributive property to multiply -5 by x-1.
10x-14=60-5x+5
Add 60 and 5 to get 65.
10x-14=65-5x
Add 5x to both sides.
10x-14+5x=65
Combine 10x and 5x to get 15x.
15x-14=65
Add 14 to both sides.
15x=65+14
Add 65 and 14 to get 79.
15x=79
Divide both sides by 15.
x=\frac{79}{15}
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Linear Equation
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\frac { 5 x - 1 } { 5 } - \frac { 1 + x } { 2 } = 3 - \frac { x - 1 } { 4 }
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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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