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

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


Simplifying
4(x + -5) + 4(x + -5) + 3(x + 6) + 3(x + 6) = 0

Reorder the terms:
4(-5 + x) + 4(x + -5) + 3(x + 6) + 3(x + 6) = 0
(-5 * 4 + x * 4) + 4(x + -5) + 3(x + 6) + 3(x + 6) = 0
(-20 + 4x) + 4(x + -5) + 3(x + 6) + 3(x + 6) = 0

Reorder the terms:
-20 + 4x + 4(-5 + x) + 3(x + 6) + 3(x + 6) = 0
-20 + 4x + (-5 * 4 + x * 4) + 3(x + 6) + 3(x + 6) = 0
-20 + 4x + (-20 + 4x) + 3(x + 6) + 3(x + 6) = 0

Reorder the terms:
-20 + 4x + -20 + 4x + 3(6 + x) + 3(x + 6) = 0
-20 + 4x + -20 + 4x + (6 * 3 + x * 3) + 3(x + 6) = 0
-20 + 4x + -20 + 4x + (18 + 3x) + 3(x + 6) = 0

Reorder the terms:
-20 + 4x + -20 + 4x + 18 + 3x + 3(6 + x) = 0
-20 + 4x + -20 + 4x + 18 + 3x + (6 * 3 + x * 3) = 0
-20 + 4x + -20 + 4x + 18 + 3x + (18 + 3x) = 0

Reorder the terms:
-20 + -20 + 18 + 18 + 4x + 4x + 3x + 3x = 0

Combine like terms: -20 + -20 = -40
-40 + 18 + 18 + 4x + 4x + 3x + 3x = 0

Combine like terms: -40 + 18 = -22
-22 + 18 + 4x + 4x + 3x + 3x = 0

Combine like terms: -22 + 18 = -4
-4 + 4x + 4x + 3x + 3x = 0

Combine like terms: 4x + 4x = 8x
-4 + 8x + 3x + 3x = 0

Combine like terms: 8x + 3x = 11x
-4 + 11x + 3x = 0

Combine like terms: 11x + 3x = 14x
-4 + 14x = 0

Solving
-4 + 14x = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 14x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 14x = 0 + 4
14x = 0 + 4

Combine like terms: 0 + 4 = 4
14x = 4

Divide each side by '14'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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