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Simplifying 3(2x + -1) + 2(3x + 1) = 7(x + 2) Reorder the terms: 3(-1 + 2x) + 2(3x + 1) = 7(x + 2) (-1 * 3 + 2x * 3) + 2(3x + 1) = 7(x + 2) (-3 + 6x) + 2(3x + 1) = 7(x + 2) Reorder the terms: -3 + 6x + 2(1 + 3x) = 7(x + 2) -3 + 6x + (1 * 2 + 3x * 2) = 7(x + 2) -3 + 6x + (2 + 6x) = 7(x + 2) Reorder the terms: -3 + 2 + 6x + 6x = 7(x + 2) Combine like terms: -3 + 2 = -1 -1 + 6x + 6x = 7(x + 2) Combine like terms: 6x + 6x = 12x -1 + 12x = 7(x + 2) Reorder the terms: -1 + 12x = 7(2 + x) -1 + 12x = (2 * 7 + x * 7) -1 + 12x = (14 + 7x) Solving -1 + 12x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 12x + -7x = 14 + 7x + -7x Combine like terms: 12x + -7x = 5x -1 + 5x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + 5x = 14 + 0 -1 + 5x = 14 Add '1' to each side of the equation. -1 + 1 + 5x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 14 + 1 5x = 14 + 1 Combine like terms: 14 + 1 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
| 10-(0)/5-(1) | | 6-2y=8 | | 15-2x= | | 3(2x-1)+2(3x-1)=7(x-2) | | 4-(0)/7-(4) | | 2(x-1)-3(2-x)=4(x-1) | | 2(x-1)-3(2-x)=4(xz-1) | | 10x+5=125 | | 4+16m-1=6m+87-4m | | -17/11=t | | -6+2x= | | 6y-10y=64 | | 1250t+1000t=5625 | | 6x-8=120 | | 8(2+x)=5(53+x)-11 | | 5m+1/2=9 | | a+15-50=100 | | 50t+45t=475 | | 50t+45t=476 | | 35-12=c | | 3s+8s=77 | | -x-6y=1 | | (2x/3)-1=7 | | 4x-15y=2 | | 20=4y-8 | | (7x)/(7x+7)=((-4x)/(5x+5))+(9x-72)/(x+1) | | 8-2(x-4)=3(2-x) | | (4/(y-1))-(1/2)=3/(y+1) | | x/13=-6 | | (2z)/(z^2-4)=(2/(z+2))-(1/(z-2)) | | 7x-y=-4 | | -39/4y+1+6=y |