x - \frac { 1 - 5 x } { 4 } = \frac { 20 - 2,5 x } { 30 } + 2
Solve for x
x=1,25
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Linear Equation
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x - \frac { 1 - 5 x } { 4 } = \frac { 20 - 2,5 x } { 30 } + 2
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60x-15\left(1-5x\right)=2\left(20-2,5x\right)+120
Multiply both sides of the equation by 60, the least common multiple of 4;30.
60x-15+75x=2\left(20-2,5x\right)+120
Use the distributive property to multiply -15 by 1-5x.
135x-15=2\left(20-2,5x\right)+120
Combine 60x and 75x to get 135x.
135x-15=40-5x+120
Use the distributive property to multiply 2 by 20-2,5x.
135x-15=160-5x
Add 40 and 120 to get 160.
135x-15+5x=160
Add 5x to both sides.
140x-15=160
Combine 135x and 5x to get 140x.
140x=160+15
Add 15 to both sides.
140x=175
Add 160 and 15 to get 175.
x=\frac{175}{140}
Divide both sides by 140.
x=\frac{5}{4}
Reduce the fraction \frac{175}{140} to lowest terms by extracting and canceling out 35.
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