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Simplifying -1[6x + (3x + 8)] = 1 + -1(7x + 6) Reorder the terms: -1[6x + (8 + 3x)] = 1 + -1(7x + 6) Remove parenthesis around (8 + 3x) -1[6x + 8 + 3x] = 1 + -1(7x + 6) Reorder the terms: -1[8 + 6x + 3x] = 1 + -1(7x + 6) Combine like terms: 6x + 3x = 9x -1[8 + 9x] = 1 + -1(7x + 6) [8 * -1 + 9x * -1] = 1 + -1(7x + 6) [-8 + -9x] = 1 + -1(7x + 6) Reorder the terms: -8 + -9x = 1 + -1(6 + 7x) -8 + -9x = 1 + (6 * -1 + 7x * -1) -8 + -9x = 1 + (-6 + -7x) Combine like terms: 1 + -6 = -5 -8 + -9x = -5 + -7x Solving -8 + -9x = -5 + -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. -8 + -9x + 7x = -5 + -7x + 7x Combine like terms: -9x + 7x = -2x -8 + -2x = -5 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + -2x = -5 + 0 -8 + -2x = -5 Add '8' to each side of the equation. -8 + 8 + -2x = -5 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -5 + 8 -2x = -5 + 8 Combine like terms: -5 + 8 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5
| 16d+-9+2d+4d+10d=12 | | 20x^2+8x+16=0 | | 6p+p+3p+-8=14 | | 7x+19=11x-89 | | [(2x-1)(x+2)]=0 | | -18k+16+-4k+7k+-3k=20 | | -6r+-20r+20r=6 | | 4x+8+4x+8+4x+8= | | -7(-2u+3)-3u=3(u-9)-6 | | 6x-5x-4=2x-8 | | x/2-9=-1 | | n+(n+2)+(n+3)=(-87) | | 9x-25=104 | | 13q+3q+-14q+2q+-2=18 | | 9x-25+104=180 | | y+a+a+64=x | | 16s+3s+-15s=20 | | 6a-4=2a+64 | | 5x-(2x+10)=35 | | 7x+8-3x=2x+12 | | 5x-(2x+10)=34 | | 5x-7=8x-55 | | (5x-7)+(8x-55)=180 | | 4r+3r+-3+-2=4 | | 0=(4x-1)(3x-10) | | 20q+-18+-q=14 | | 0=[(4x-1)(3x-1)] | | 20q-18-q=14 | | 4(8)+6y=20 | | 3x^2-25x+7=0 | | 13x+5=18x-5 | | -20p+20p+-12p=-12 |