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Simplifying 2(3x + -7) + 4(3x + 2) = 6(5x + 9) Reorder the terms: 2(-7 + 3x) + 4(3x + 2) = 6(5x + 9) (-7 * 2 + 3x * 2) + 4(3x + 2) = 6(5x + 9) (-14 + 6x) + 4(3x + 2) = 6(5x + 9) Reorder the terms: -14 + 6x + 4(2 + 3x) = 6(5x + 9) -14 + 6x + (2 * 4 + 3x * 4) = 6(5x + 9) -14 + 6x + (8 + 12x) = 6(5x + 9) Reorder the terms: -14 + 8 + 6x + 12x = 6(5x + 9) Combine like terms: -14 + 8 = -6 -6 + 6x + 12x = 6(5x + 9) Combine like terms: 6x + 12x = 18x -6 + 18x = 6(5x + 9) Reorder the terms: -6 + 18x = 6(9 + 5x) -6 + 18x = (9 * 6 + 5x * 6) -6 + 18x = (54 + 30x) Solving -6 + 18x = 54 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -6 + 18x + -30x = 54 + 30x + -30x Combine like terms: 18x + -30x = -12x -6 + -12x = 54 + 30x + -30x Combine like terms: 30x + -30x = 0 -6 + -12x = 54 + 0 -6 + -12x = 54 Add '6' to each side of the equation. -6 + 6 + -12x = 54 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = 54 + 6 -12x = 54 + 6 Combine like terms: 54 + 6 = 60 -12x = 60 Divide each side by '-12'. x = -5 Simplifying x = -5
| 7(a-3)=35 | | 3x^3+6=3x | | 5b-15=10.5 | | 2/3x-7=1/6x | | (7p+5)(p+8)=0 | | 11-z^2=0 | | 4(-3k-1)=2k-4 | | 5p(3pq+6)= | | (6n+1)(n-5)=0 | | x^3+a=bx | | y/2-2=2 | | 12n^2-21n+2=-8n+6 | | 8(8-k)=24p | | -113(4x)= | | 54r^2+72r+24= | | 80-20x=40+20x | | x/(-22)=-63 | | b/(-96)=-3 | | 15=(-3j) | | 15=-63 | | (6x-6)=(7x-7) | | 2h+8=2-1h | | 68+8y=21 | | 13=x/(-4) | | -18=y/(-2) | | k/(-3)=6 | | 12x-(-x)= | | 7c+4d=64 | | x^2-6x-4y+17=0 | | 4/3x-12=2/3 | | x^2+y^2=1+z^2 | | 5b=120 |