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Simplifying 5(2x + -1) = 3(2x + 1) + 2(x + 1) Reorder the terms: 5(-1 + 2x) = 3(2x + 1) + 2(x + 1) (-1 * 5 + 2x * 5) = 3(2x + 1) + 2(x + 1) (-5 + 10x) = 3(2x + 1) + 2(x + 1) Reorder the terms: -5 + 10x = 3(1 + 2x) + 2(x + 1) -5 + 10x = (1 * 3 + 2x * 3) + 2(x + 1) -5 + 10x = (3 + 6x) + 2(x + 1) Reorder the terms: -5 + 10x = 3 + 6x + 2(1 + x) -5 + 10x = 3 + 6x + (1 * 2 + x * 2) -5 + 10x = 3 + 6x + (2 + 2x) Reorder the terms: -5 + 10x = 3 + 2 + 6x + 2x Combine like terms: 3 + 2 = 5 -5 + 10x = 5 + 6x + 2x Combine like terms: 6x + 2x = 8x -5 + 10x = 5 + 8x Solving -5 + 10x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 10x + -8x = 5 + 8x + -8x Combine like terms: 10x + -8x = 2x -5 + 2x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 2x = 5 + 0 -5 + 2x = 5 Add '5' to each side of the equation. -5 + 5 + 2x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 5 + 5 2x = 5 + 5 Combine like terms: 5 + 5 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
| 3a+6=42 | | 16-21=16n-22 | | y/8-1=4 | | 4x^2-7x+13=9x+6 | | 3x+2x-8=22 | | 14x-131=4x-11 | | 8(x+8)= | | 3(7x-2)=36 | | 7x-4=3x+20 | | -6r=-72 | | -21=n-41 | | -2(r+9)=-31 | | 10=-4.9x^2+20x+5 | | 8-4x=-2x+10 | | -7p=-84 | | 71x+20x=450+20x | | .5(x-3)=.4166666667+.666666667(2x-5) | | 14-10x=92-24x | | 6(2x++5)= | | -t^2+5t-9=0 | | -18-6=6(1+3k) | | x^2+5x+41=-9x+1 | | -9(1-10n)-2(3n+9)= | | 12n=26 | | 3((3)-1)=5(3)-2(3) | | 7(-12x-3)+10(6x+7)= | | x^2+2x-7=1 | | 11(8r+3)-2(-9+6r)= | | 4c^2=6+10c | | 94-4x=3x-10 | | 9(m+8)+11(3m+4)= | | x-7=53 |