4[2(x+3)+7]-5x=61

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Solution for 4[2(x+3)+7]-5x=61 equation:


Simplifying
4[2(x + 3) + 7] + -5x = 61

Reorder the terms:
4[2(3 + x) + 7] + -5x = 61
4[(3 * 2 + x * 2) + 7] + -5x = 61
4[(6 + 2x) + 7] + -5x = 61

Reorder the terms:
4[6 + 7 + 2x] + -5x = 61

Combine like terms: 6 + 7 = 13
4[13 + 2x] + -5x = 61
[13 * 4 + 2x * 4] + -5x = 61
[52 + 8x] + -5x = 61

Combine like terms: 8x + -5x = 3x
52 + 3x = 61

Solving
52 + 3x = 61

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + 3x = 61 + -52

Combine like terms: 52 + -52 = 0
0 + 3x = 61 + -52
3x = 61 + -52

Combine like terms: 61 + -52 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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