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

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


Simplifying
3(x + 2(5 + -1x)) = 4x + 1
3(x + (5 * 2 + -1x * 2)) = 4x + 1
3(x + (10 + -2x)) = 4x + 1

Reorder the terms:
3(10 + x + -2x) = 4x + 1

Combine like terms: x + -2x = -1x
3(10 + -1x) = 4x + 1
(10 * 3 + -1x * 3) = 4x + 1
(30 + -3x) = 4x + 1

Reorder the terms:
30 + -3x = 1 + 4x

Solving
30 + -3x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
30 + -3x + -4x = 1 + 4x + -4x

Combine like terms: -3x + -4x = -7x
30 + -7x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + -7x = 1 + 0
30 + -7x = 1

Add '-30' to each side of the equation.
30 + -30 + -7x = 1 + -30

Combine like terms: 30 + -30 = 0
0 + -7x = 1 + -30
-7x = 1 + -30

Combine like terms: 1 + -30 = -29
-7x = -29

Divide each side by '-7'.
x = 4.142857143

Simplifying
x = 4.142857143

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