12x=4(x+5) (multiplying 4 by each argument in the parenhesis) 12x=4x+20 /-4x both sides 8x=20 /:8 divide both sides by 8 x = 8 20 = 2 8 4 = 2.5
15x-3(3x+4)=6 (-3 times each argument in the parenthesis) 15x-9x-12=6 6x-12=6 /+12 both sides 6x=18 /:6 divide both sides by 6 x=3
3x-5x+10=36 -2x+10=36 /-10 both sides -2x=26 /:(-2) divide both sides by -2 x=-13
2(x+3)=x+10 2x+6=x+10 /-x x+6=10 /-6 x=4
The solutions to the equations are: 1) x = 2.5, 2) x = 3, 3) x = -13, and 4) x = 4. Each equation was solved by isolating the variable x through various algebraic operations. It's important to perform the same operations on both sides of the equation to maintain equality.
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