10(x+3)-4(x-2)=7(x+35)

Simple and best practice solution for 10(x+3)-4(x-2)=7(x+35) 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 10(x+3)-4(x-2)=7(x+35) equation:


Simplifying
10(x + 3) + -4(x + -2) = 7(x + 35)

Reorder the terms:
10(3 + x) + -4(x + -2) = 7(x + 35)
(3 * 10 + x * 10) + -4(x + -2) = 7(x + 35)
(30 + 10x) + -4(x + -2) = 7(x + 35)

Reorder the terms:
30 + 10x + -4(-2 + x) = 7(x + 35)
30 + 10x + (-2 * -4 + x * -4) = 7(x + 35)
30 + 10x + (8 + -4x) = 7(x + 35)

Reorder the terms:
30 + 8 + 10x + -4x = 7(x + 35)

Combine like terms: 30 + 8 = 38
38 + 10x + -4x = 7(x + 35)

Combine like terms: 10x + -4x = 6x
38 + 6x = 7(x + 35)

Reorder the terms:
38 + 6x = 7(35 + x)
38 + 6x = (35 * 7 + x * 7)
38 + 6x = (245 + 7x)

Solving
38 + 6x = 245 + 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.
38 + 6x + -7x = 245 + 7x + -7x

Combine like terms: 6x + -7x = -1x
38 + -1x = 245 + 7x + -7x

Combine like terms: 7x + -7x = 0
38 + -1x = 245 + 0
38 + -1x = 245

Add '-38' to each side of the equation.
38 + -38 + -1x = 245 + -38

Combine like terms: 38 + -38 = 0
0 + -1x = 245 + -38
-1x = 245 + -38

Combine like terms: 245 + -38 = 207
-1x = 207

Divide each side by '-1'.
x = -207

Simplifying
x = -207

See similar equations:

| -7(-3x+1)=-196 | | 84=-16t^2+90t+3 | | (36)x-2=(216)5x | | 4+c=18 | | -1.25x^2-450x+72000=112500 | | 5xy-8x+y=17 | | 5(-2x+7)=5(6x+2) | | 1q+4q-15q-2q+4q=14 | | 2/7x=30 | | 2(-2x-6)=2(-8x-5) | | 2x-12+3x=123 | | 2b+5b-6b=9 | | 4(x+5)=(3x)3 | | 10x^2=-4x-5 | | 5/6x=75 | | 38=10-2b | | 12g-8g-g-3g+g=16 | | 36-48x-12x^2=0 | | (5/6)x=6 | | 6x+-4= | | 2(4-y)-(y+2)=28 | | 6(x+1)=4(1+.25x)+6+3x | | 60x+179x=240 | | 3x-8=116 | | 919*4= | | 6.5=m/4 | | -3(-4y-6)=-78 | | 12x-10x+5x=-18 | | f(1/4) | | 2n^2-2=-3n | | -7+2x=10 | | 9x+2=2(x+2)-9 |

Equations solver categories