4(x+1)=7(x-2)-3

Simple and best practice solution for 4(x+1)=7(x-2)-3 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 4(x+1)=7(x-2)-3 equation:


Simplifying
4(x + 1) = 7(x + -2) + -3

Reorder the terms:
4(1 + x) = 7(x + -2) + -3
(1 * 4 + x * 4) = 7(x + -2) + -3
(4 + 4x) = 7(x + -2) + -3

Reorder the terms:
4 + 4x = 7(-2 + x) + -3
4 + 4x = (-2 * 7 + x * 7) + -3
4 + 4x = (-14 + 7x) + -3

Reorder the terms:
4 + 4x = -14 + -3 + 7x

Combine like terms: -14 + -3 = -17
4 + 4x = -17 + 7x

Solving
4 + 4x = -17 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
4 + 4x + -7x = -17 + 7x + -7x

Combine like terms: 4x + -7x = -3x
4 + -3x = -17 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -3x = -17 + 0
4 + -3x = -17

Add '-4' to each side of the equation.
4 + -4 + -3x = -17 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -17 + -4
-3x = -17 + -4

Combine like terms: -17 + -4 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

See similar equations:

| a^2+6ab-7b^2=0 | | a^2-4ab-21b^2=0 | | 166-8x=104+x | | c/10+32=41 | | 4(8x^2-5)-[6(3x^2-5)+2]= | | 90=x+5+65 | | 3p^2-25p+16= | | 17Xv=153 | | 3p^2-25+16= | | 3x-18+x-9+x+7=180 | | 17+v=153 | | 2x+(3x+10)=50 | | a^2+5ab+6b=0 | | 12x^2-7x=0 | | x^2-2y^2=2 | | 12x^2+10x=10 | | 16x^2+30x-4=0 | | a^2+25a=0 | | 18r-2-12r=-6r-28 | | 4xn=8 | | 12x^3+2xy-10y^3=0 | | 5y+3-7y+1=3y+8y+17 | | t^2-t-30=0 | | 40+6v=4(3v+4) | | 2(m-16)=44 | | 4k-14+3=21 | | x^22=2000 | | 11+5d-3d-4= | | 5(x-6)=0 | | 16z^2-2=79 | | m+6=17+2 | | 10+4=4y+(-9) |

Equations solver categories