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

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


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

Reorder the terms:
4(-5 + 3x) + 2(x + 3) = 1
(-5 * 4 + 3x * 4) + 2(x + 3) = 1
(-20 + 12x) + 2(x + 3) = 1

Reorder the terms:
-20 + 12x + 2(3 + x) = 1
-20 + 12x + (3 * 2 + x * 2) = 1
-20 + 12x + (6 + 2x) = 1

Reorder the terms:
-20 + 6 + 12x + 2x = 1

Combine like terms: -20 + 6 = -14
-14 + 12x + 2x = 1

Combine like terms: 12x + 2x = 14x
-14 + 14x = 1

Solving
-14 + 14x = 1

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 14x = 1 + 14

Combine like terms: -14 + 14 = 0
0 + 14x = 1 + 14
14x = 1 + 14

Combine like terms: 1 + 14 = 15
14x = 15

Divide each side by '14'.
x = 1.071428571

Simplifying
x = 1.071428571

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