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Simplifying 2(3x + -2) + -3 = 2(x + -2) + 5 Reorder the terms: 2(-2 + 3x) + -3 = 2(x + -2) + 5 (-2 * 2 + 3x * 2) + -3 = 2(x + -2) + 5 (-4 + 6x) + -3 = 2(x + -2) + 5 Reorder the terms: -4 + -3 + 6x = 2(x + -2) + 5 Combine like terms: -4 + -3 = -7 -7 + 6x = 2(x + -2) + 5 Reorder the terms: -7 + 6x = 2(-2 + x) + 5 -7 + 6x = (-2 * 2 + x * 2) + 5 -7 + 6x = (-4 + 2x) + 5 Reorder the terms: -7 + 6x = -4 + 5 + 2x Combine like terms: -4 + 5 = 1 -7 + 6x = 1 + 2x Solving -7 + 6x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 6x + -2x = 1 + 2x + -2x Combine like terms: 6x + -2x = 4x -7 + 4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 4x = 1 + 0 -7 + 4x = 1 Add '7' to each side of the equation. -7 + 7 + 4x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 1 + 7 4x = 1 + 7 Combine like terms: 1 + 7 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
| 12p=8-4(-20p-15) | | -5(8h+11)-20h=-16-4h+17 | | 10.64+16.3m-13.9m=m-11.62 | | -15.79+1.6n=1.3n-19.42 | | 19.07-1.3h=-4.6h-1.4h-17.12 | | 4(2x-4)-4=4(x-2)-4 | | 15z+10-8z-30=3 | | -10+8.6j=9.1j | | 4y-3=9y+22 | | 15.1t+10.19=-13.96+8.2t | | 5x-(3x+8)=8 | | 5x-6y=500 | | 16.1y=15.5y-11.46 | | 7(5x-5)=34 | | -4.5f+7.77+0.1f=-18.27-6.5f | | 9.85+8.3s=8.1s+9.05 | | n/6-5/6= | | -0.43+9.4k=10.3k+16.76 | | -4/3n=-16 | | 4.5+b=-19.94-18.48-4.8b | | 2(3v-15)= | | -11.7w-17.73=-10.8w | | 5(2+2c)=6(3c-2c) | | 18-8h=-10h+4h-8 | | 6x-18-(5x+5)=0 | | 13.4c=12.24+11.7c | | e^(-x^2/8) | | 0.2b+8=0.5b+14 | | 2tan^2x-3tanx-5=0 | | 12g+9.5g+17.53=18.4g-19.98 | | 0.16-8.5z=-11.6z-15.65 | | 5h^2=125 |