4(x-5)+2(x+1)=3(1-x)+6

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Solution for 4(x-5)+2(x+1)=3(1-x)+6 equation:


Simplifying
4(x + -5) + 2(x + 1) = 3(1 + -1x) + 6

Reorder the terms:
4(-5 + x) + 2(x + 1) = 3(1 + -1x) + 6
(-5 * 4 + x * 4) + 2(x + 1) = 3(1 + -1x) + 6
(-20 + 4x) + 2(x + 1) = 3(1 + -1x) + 6

Reorder the terms:
-20 + 4x + 2(1 + x) = 3(1 + -1x) + 6
-20 + 4x + (1 * 2 + x * 2) = 3(1 + -1x) + 6
-20 + 4x + (2 + 2x) = 3(1 + -1x) + 6

Reorder the terms:
-20 + 2 + 4x + 2x = 3(1 + -1x) + 6

Combine like terms: -20 + 2 = -18
-18 + 4x + 2x = 3(1 + -1x) + 6

Combine like terms: 4x + 2x = 6x
-18 + 6x = 3(1 + -1x) + 6
-18 + 6x = (1 * 3 + -1x * 3) + 6
-18 + 6x = (3 + -3x) + 6

Reorder the terms:
-18 + 6x = 3 + 6 + -3x

Combine like terms: 3 + 6 = 9
-18 + 6x = 9 + -3x

Solving
-18 + 6x = 9 + -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.
-18 + 6x + 3x = 9 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-18 + 9x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-18 + 9x = 9 + 0
-18 + 9x = 9

Add '18' to each side of the equation.
-18 + 18 + 9x = 9 + 18

Combine like terms: -18 + 18 = 0
0 + 9x = 9 + 18
9x = 9 + 18

Combine like terms: 9 + 18 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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