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Simplifying 5(x + -4) + -3(x + -6) = 6(x + -7) Reorder the terms: 5(-4 + x) + -3(x + -6) = 6(x + -7) (-4 * 5 + x * 5) + -3(x + -6) = 6(x + -7) (-20 + 5x) + -3(x + -6) = 6(x + -7) Reorder the terms: -20 + 5x + -3(-6 + x) = 6(x + -7) -20 + 5x + (-6 * -3 + x * -3) = 6(x + -7) -20 + 5x + (18 + -3x) = 6(x + -7) Reorder the terms: -20 + 18 + 5x + -3x = 6(x + -7) Combine like terms: -20 + 18 = -2 -2 + 5x + -3x = 6(x + -7) Combine like terms: 5x + -3x = 2x -2 + 2x = 6(x + -7) Reorder the terms: -2 + 2x = 6(-7 + x) -2 + 2x = (-7 * 6 + x * 6) -2 + 2x = (-42 + 6x) Solving -2 + 2x = -42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 2x + -6x = -42 + 6x + -6x Combine like terms: 2x + -6x = -4x -2 + -4x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -4x = -42 + 0 -2 + -4x = -42 Add '2' to each side of the equation. -2 + 2 + -4x = -42 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -42 + 2 -4x = -42 + 2 Combine like terms: -42 + 2 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
| 3n+9=7n-3 | | 42-3x=6-7x | | 5(x-1)+5(x-1)=3(2x-4) | | 2n-4=5*(1+n) | | 29-8*-2=45 | | 7/8-3/8= | | (x^4)-(4x^2)+(4)=x^2 | | 13=5-8+13a | | 11(x+2)=14(x-4) | | .9(-3x+5)+.6(9x-7.5)= | | 0.05x-0.01=1.1 | | 9(-3x+5)+.6(9x-7.5)= | | X^4-x^2+4=x^2 | | 4w^2+28w-735=0 | | 2y=-x-16 | | (2x^2-7x+13)+(2x^2+9x-42)= | | 12d+8=9d+29 | | 55-(15)=55-15 | | 7+78x=52x+9 | | 9(-3x+5)+.6(9x-7.5)=18(1.5x-.2)+3.6 | | 28-(x+8)=7x-4 | | 3t+4=t+15 | | 55-15=55-15 | | 4(x-8)=-8 | | 2.3x-1.5=6-0.2x | | 6(a+1)=33.6 | | 5+77x=44x+41 | | 4(x+5)-2=2(1-x)+5x | | 7.4=6c-4 | | 9/4-5/6=1/2 | | 5x-21=14 | | -2x-15=16 |