4x+3[7+2(x+3)]=83

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Solution for 4x+3[7+2(x+3)]=83 equation:


Simplifying
4x + 3[7 + 2(x + 3)] = 83

Reorder the terms:
4x + 3[7 + 2(3 + x)] = 83
4x + 3[7 + (3 * 2 + x * 2)] = 83
4x + 3[7 + (6 + 2x)] = 83

Combine like terms: 7 + 6 = 13
4x + 3[13 + 2x] = 83
4x + [13 * 3 + 2x * 3] = 83
4x + [39 + 6x] = 83

Reorder the terms:
39 + 4x + 6x = 83

Combine like terms: 4x + 6x = 10x
39 + 10x = 83

Solving
39 + 10x = 83

Solving for variable 'x'.

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

Add '-39' to each side of the equation.
39 + -39 + 10x = 83 + -39

Combine like terms: 39 + -39 = 0
0 + 10x = 83 + -39
10x = 83 + -39

Combine like terms: 83 + -39 = 44
10x = 44

Divide each side by '10'.
x = 4.4

Simplifying
x = 4.4

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