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Simplifying 3(5x + -4) + -5(4 + -3x) = 7x + 7(3x + -4) Reorder the terms: 3(-4 + 5x) + -5(4 + -3x) = 7x + 7(3x + -4) (-4 * 3 + 5x * 3) + -5(4 + -3x) = 7x + 7(3x + -4) (-12 + 15x) + -5(4 + -3x) = 7x + 7(3x + -4) -12 + 15x + (4 * -5 + -3x * -5) = 7x + 7(3x + -4) -12 + 15x + (-20 + 15x) = 7x + 7(3x + -4) Reorder the terms: -12 + -20 + 15x + 15x = 7x + 7(3x + -4) Combine like terms: -12 + -20 = -32 -32 + 15x + 15x = 7x + 7(3x + -4) Combine like terms: 15x + 15x = 30x -32 + 30x = 7x + 7(3x + -4) Reorder the terms: -32 + 30x = 7x + 7(-4 + 3x) -32 + 30x = 7x + (-4 * 7 + 3x * 7) -32 + 30x = 7x + (-28 + 21x) Reorder the terms: -32 + 30x = -28 + 7x + 21x Combine like terms: 7x + 21x = 28x -32 + 30x = -28 + 28x Solving -32 + 30x = -28 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -32 + 30x + -28x = -28 + 28x + -28x Combine like terms: 30x + -28x = 2x -32 + 2x = -28 + 28x + -28x Combine like terms: 28x + -28x = 0 -32 + 2x = -28 + 0 -32 + 2x = -28 Add '32' to each side of the equation. -32 + 32 + 2x = -28 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = -28 + 32 2x = -28 + 32 Combine like terms: -28 + 32 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
| h(t)=-5t^2+10t+2 | | 3(y-6)=4y-4 | | 4y^2-19y+21=0 | | -61n+8=-8 | | 6(4x-3)-3(3-7x)=6x+4(4-x) | | (x+18)(x+12)=0 | | 2a^2+4ah=0.5 | | 18n^3+48n^2-21n-56= | | 5x-2(3x-7)=-13 | | y-6=3x+6 | | 2ax^2+8ax-64a=0 | | 5x^2-28x+40=0 | | y=40x+30 | | 5x+6=4x+20 | | 5x^2+28x+40=0 | | 5w+4=84 | | 10-3h=4 | | 3(7-2x)+4x=19-3x | | 2(7x-10)-4(3x-7)=5(4x-5)-3(2x+5) | | 1+3w=13 | | 3z-4=14 | | x+2(5.3)=10 | | 24=6(n+5) | | 18-3k=3 | | 17=3n+2 | | 100+15x=40+25x | | 3+4g=11 | | 33+7m=49-m | | 3=17-2q | | 2f+2=8 | | -2(x-4)=8x-20 | | 3x+2=5x+13 |