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

Simple and best practice solution for 2(2x-3)+3(x+1)=2-(3x-5) 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 2(2x-3)+3(x+1)=2-(3x-5) equation:


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

Reorder the terms:
2(-3 + 2x) + 3(x + 1) = 2 + -1(3x + -5)
(-3 * 2 + 2x * 2) + 3(x + 1) = 2 + -1(3x + -5)
(-6 + 4x) + 3(x + 1) = 2 + -1(3x + -5)

Reorder the terms:
-6 + 4x + 3(1 + x) = 2 + -1(3x + -5)
-6 + 4x + (1 * 3 + x * 3) = 2 + -1(3x + -5)
-6 + 4x + (3 + 3x) = 2 + -1(3x + -5)

Reorder the terms:
-6 + 3 + 4x + 3x = 2 + -1(3x + -5)

Combine like terms: -6 + 3 = -3
-3 + 4x + 3x = 2 + -1(3x + -5)

Combine like terms: 4x + 3x = 7x
-3 + 7x = 2 + -1(3x + -5)

Reorder the terms:
-3 + 7x = 2 + -1(-5 + 3x)
-3 + 7x = 2 + (-5 * -1 + 3x * -1)
-3 + 7x = 2 + (5 + -3x)

Combine like terms: 2 + 5 = 7
-3 + 7x = 7 + -3x

Solving
-3 + 7x = 7 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
-3 + 7x + 3x = 7 + -3x + 3x

Combine like terms: 7x + 3x = 10x
-3 + 10x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
-3 + 10x = 7 + 0
-3 + 10x = 7

Add '3' to each side of the equation.
-3 + 3 + 10x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = 7 + 3
10x = 7 + 3

Combine like terms: 7 + 3 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

See similar equations:

| y=8-6(0) | | 5x-6=6x+5 | | 5-y=-3(0) | | 3xy+3xyz=-3xy | | 15=3+k | | -4+26=-42 | | 14c+7=37+8c | | 28=8x-12 | | (4x^2-8x+2)-(7x^2+11x-9)= | | z^2-175=0 | | y^2+10=46 | | 5(-7-6x)=-215 | | 8y=32x-24 | | 14w=36 | | a/12=5 | | 8(-3x+1)=-8(x+1) | | 3(-2x-9)=39 | | 6(f-5)=30 | | -3(5p+2)-2(4-14p)=3(5+4p) | | 5(2+x)=-30 | | 69(f-5)=30 | | 8(-3x+1)=-23(x-1) | | 2x+12=-26 | | y=1.6x | | 13-r=6.303 | | -9(2b+3)+(19b-2)=0 | | s^2-3s+-10=0 | | d-4.001=5.999 | | 2(4p-3)=18 | | 25+t=-183 | | (5b-7)-2(2b+1)=-5 | | 8x-9=3x+8+5x |

Equations solver categories