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Simplifying 3(kx + -6) + -2 = k(3x + -2) + -6 Reorder the terms: 3(-6 + kx) + -2 = k(3x + -2) + -6 (-6 * 3 + kx * 3) + -2 = k(3x + -2) + -6 (-18 + 3kx) + -2 = k(3x + -2) + -6 Reorder the terms: -18 + -2 + 3kx = k(3x + -2) + -6 Combine like terms: -18 + -2 = -20 -20 + 3kx = k(3x + -2) + -6 Reorder the terms: -20 + 3kx = k(-2 + 3x) + -6 -20 + 3kx = (-2 * k + 3x * k) + -6 -20 + 3kx = (-2k + 3kx) + -6 Reorder the terms: -20 + 3kx = -6 + -2k + 3kx Add '-3kx' to each side of the equation. -20 + 3kx + -3kx = -6 + -2k + 3kx + -3kx Combine like terms: 3kx + -3kx = 0 -20 + 0 = -6 + -2k + 3kx + -3kx -20 = -6 + -2k + 3kx + -3kx Combine like terms: 3kx + -3kx = 0 -20 = -6 + -2k + 0 -20 = -6 + -2k Solving -20 = -6 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -20 + 2k = -6 + -2k + 2k Combine like terms: -2k + 2k = 0 -20 + 2k = -6 + 0 -20 + 2k = -6 Add '20' to each side of the equation. -20 + 20 + 2k = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 2k = -6 + 20 2k = -6 + 20 Combine like terms: -6 + 20 = 14 2k = 14 Divide each side by '2'. k = 7 Simplifying k = 7
| 7x-60+c=180 | | 6(y+8)=6y+8 | | C=38.13+0.50x | | f(x)=3x^2+6x-3 | | 23=y+11 | | 2log(6)(x)=log(6)(2)+log(6)(x+24) | | 12+8*p=14-4*p | | 2log(x)=log(2)+log(x+24) | | 17/3+3n=4/5n+12 | | 17x-12x=72x+62 | | 17x-12x=72x | | 17x-12x=16+72x | | 17x-29x=x-3+(-49)72x | | 0=2p^2-200p+5000 | | 17x-29x=x-3+(-49)72 | | 17x-29x=x-3+(-49) | | x+2-8x-16=0 | | 17x-29x=x-3+49 | | 5x-(16-2x)=26 | | 17x*3x=x-3+49 | | 17x*3x=x-3 | | 17x*8x=x-3 | | 49x*8x=x-3 | | 2y^2-11y=5 | | 2y+5=2y+6 | | 49x*8x=x-17 | | 49x*8x=2x | | 49x*8x=x | | 49x*8x=9x | | 72x-(21+x)=83(x-46) | | 72x-(21+x)=83(x+46) | | 72x-(21+x)=83 |