5[x+4(6-x)]=3x+1

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Solution for 5[x+4(6-x)]=3x+1 equation:


Simplifying
5[x + 4(6 + -1x)] = 3x + 1
5[x + (6 * 4 + -1x * 4)] = 3x + 1
5[x + (24 + -4x)] = 3x + 1

Reorder the terms:
5[24 + x + -4x] = 3x + 1

Combine like terms: x + -4x = -3x
5[24 + -3x] = 3x + 1
[24 * 5 + -3x * 5] = 3x + 1
[120 + -15x] = 3x + 1

Reorder the terms:
120 + -15x = 1 + 3x

Solving
120 + -15x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
120 + -15x + -3x = 1 + 3x + -3x

Combine like terms: -15x + -3x = -18x
120 + -18x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
120 + -18x = 1 + 0
120 + -18x = 1

Add '-120' to each side of the equation.
120 + -120 + -18x = 1 + -120

Combine like terms: 120 + -120 = 0
0 + -18x = 1 + -120
-18x = 1 + -120

Combine like terms: 1 + -120 = -119
-18x = -119

Divide each side by '-18'.
x = 6.611111111

Simplifying
x = 6.611111111

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