3(4x-1)-5(x+2)=2(x-3)+1

Simple and best practice solution for 3(4x-1)-5(x+2)=2(x-3)+1 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3(4x-1)-5(x+2)=2(x-3)+1 equation:


Simplifying
3(4x + -1) + -5(x + 2) = 2(x + -3) + 1

Reorder the terms:
3(-1 + 4x) + -5(x + 2) = 2(x + -3) + 1
(-1 * 3 + 4x * 3) + -5(x + 2) = 2(x + -3) + 1
(-3 + 12x) + -5(x + 2) = 2(x + -3) + 1

Reorder the terms:
-3 + 12x + -5(2 + x) = 2(x + -3) + 1
-3 + 12x + (2 * -5 + x * -5) = 2(x + -3) + 1
-3 + 12x + (-10 + -5x) = 2(x + -3) + 1

Reorder the terms:
-3 + -10 + 12x + -5x = 2(x + -3) + 1

Combine like terms: -3 + -10 = -13
-13 + 12x + -5x = 2(x + -3) + 1

Combine like terms: 12x + -5x = 7x
-13 + 7x = 2(x + -3) + 1

Reorder the terms:
-13 + 7x = 2(-3 + x) + 1
-13 + 7x = (-3 * 2 + x * 2) + 1
-13 + 7x = (-6 + 2x) + 1

Reorder the terms:
-13 + 7x = -6 + 1 + 2x

Combine like terms: -6 + 1 = -5
-13 + 7x = -5 + 2x

Solving
-13 + 7x = -5 + 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.
-13 + 7x + -2x = -5 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-13 + 5x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + 5x = -5 + 0
-13 + 5x = -5

Add '13' to each side of the equation.
-13 + 13 + 5x = -5 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = -5 + 13
5x = -5 + 13

Combine like terms: -5 + 13 = 8
5x = 8

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6

See similar equations:

| (6n^3+2n)-(-8n^3-2n+3)= | | 2.5*13= | | 8y-7=27-2y | | 13x+1=12x-11 | | h(9)=-27 | | 2.5/13=45 | | 17a^5-7a^3-19a^5+18a^3= | | 9(x+4)+2=11x-2(x-4) | | 7(9+4f)=-27 | | -3x+10=6x+1 | | 6.8x=-0.2244 | | 5/8x-11=14 | | 9.25+8=15.5+13 | | 0=-.2x^2+16x | | -(x+2)=4x-2 | | 1/4=1/9z | | y=-.2x^2+16x | | 31.4=3.14r | | .66x=5 | | 20x-40=10x-70 | | 6(x+3)-(x-7)= | | 2=.57x | | x+4.4=8.2 | | 0=-16x^2+64x+32 | | 3x+(12.8+x)=200.3 | | 15x-6=-2x-10 | | 4p-(9p+13)=6-(7p-8) | | 2567636.50+615493x=(3*648043)+648043x | | 30x+25=60x+25 | | .375x=5 | | -3+5-4x=2x+4-5x | | 24x-17x=13x-15 |

Equations solver categories