5[3+2(x-6)]=3x+1

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Solution for 5[3+2(x-6)]=3x+1 equation:


Simplifying
5[3 + 2(x + -6)] = 3x + 1

Reorder the terms:
5[3 + 2(-6 + x)] = 3x + 1
5[3 + (-6 * 2 + x * 2)] = 3x + 1
5[3 + (-12 + 2x)] = 3x + 1

Combine like terms: 3 + -12 = -9
5[-9 + 2x] = 3x + 1
[-9 * 5 + 2x * 5] = 3x + 1
[-45 + 10x] = 3x + 1

Reorder the terms:
-45 + 10x = 1 + 3x

Solving
-45 + 10x = 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.
-45 + 10x + -3x = 1 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-45 + 7x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-45 + 7x = 1 + 0
-45 + 7x = 1

Add '45' to each side of the equation.
-45 + 45 + 7x = 1 + 45

Combine like terms: -45 + 45 = 0
0 + 7x = 1 + 45
7x = 1 + 45

Combine like terms: 1 + 45 = 46
7x = 46

Divide each side by '7'.
x = 6.571428571

Simplifying
x = 6.571428571

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