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

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


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

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

Reorder the terms:
-12 + 4x + 2(5 + x) = 1
-12 + 4x + (5 * 2 + x * 2) = 1
-12 + 4x + (10 + 2x) = 1

Reorder the terms:
-12 + 10 + 4x + 2x = 1

Combine like terms: -12 + 10 = -2
-2 + 4x + 2x = 1

Combine like terms: 4x + 2x = 6x
-2 + 6x = 1

Solving
-2 + 6x = 1

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 6x = 1 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 1 + 2
6x = 1 + 2

Combine like terms: 1 + 2 = 3
6x = 3

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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