12(x-3)+3(x+1)-2(x-5)-4(x-2)=36

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Solution for 12(x-3)+3(x+1)-2(x-5)-4(x-2)=36 equation: 


Simplifying
12(x + -3) + 3(x + 1) + -2(x + -5) + -4(x + -2) = 36

Reorder the terms:
12(-3 + x) + 3(x + 1) + -2(x + -5) + -4(x + -2) = 36
(-3 * 12 + x * 12) + 3(x + 1) + -2(x + -5) + -4(x + -2) = 36
(-36 + 12x) + 3(x + 1) + -2(x + -5) + -4(x + -2) = 36

Reorder the terms:
-36 + 12x + 3(1 + x) + -2(x + -5) + -4(x + -2) = 36
-36 + 12x + (1 * 3 + x * 3) + -2(x + -5) + -4(x + -2) = 36
-36 + 12x + (3 + 3x) + -2(x + -5) + -4(x + -2) = 36

Reorder the terms:
-36 + 12x + 3 + 3x + -2(-5 + x) + -4(x + -2) = 36
-36 + 12x + 3 + 3x + (-5 * -2 + x * -2) + -4(x + -2) = 36
-36 + 12x + 3 + 3x + (10 + -2x) + -4(x + -2) = 36

Reorder the terms:
-36 + 12x + 3 + 3x + 10 + -2x + -4(-2 + x) = 36
-36 + 12x + 3 + 3x + 10 + -2x + (-2 * -4 + x * -4) = 36
-36 + 12x + 3 + 3x + 10 + -2x + (8 + -4x) = 36

Reorder the terms:
-36 + 3 + 10 + 8 + 12x + 3x + -2x + -4x = 36

Combine like terms: -36 + 3 = -33
-33 + 10 + 8 + 12x + 3x + -2x + -4x = 36

Combine like terms: -33 + 10 = -23
-23 + 8 + 12x + 3x + -2x + -4x = 36

Combine like terms: -23 + 8 = -15
-15 + 12x + 3x + -2x + -4x = 36

Combine like terms: 12x + 3x = 15x
-15 + 15x + -2x + -4x = 36

Combine like terms: 15x + -2x = 13x
-15 + 13x + -4x = 36

Combine like terms: 13x + -4x = 9x
-15 + 9x = 36

Solving
-15 + 9x = 36

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 9x = 36 + 15

Combine like terms: -15 + 15 = 0
0 + 9x = 36 + 15
9x = 36 + 15

Combine like terms: 36 + 15 = 51
9x = 51

Divide each side by '9'.
x = 5.666666667

Simplifying
x = 5.666666667

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