10*[5+3*(16+3x)]+35*2=100

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Solution for 10*[5+3*(16+3x)]+35*2=100 equation: 


Simplifying
10[5 + 3(16 + 3x)] + 35 * 2 = 100
10[5 + (16 * 3 + 3x * 3)] + 35 * 2 = 100
10[5 + (48 + 9x)] + 35 * 2 = 100

Combine like terms: 5 + 48 = 53
10[53 + 9x] + 35 * 2 = 100
[53 * 10 + 9x * 10] + 35 * 2 = 100
[530 + 90x] + 35 * 2 = 100

Multiply 35 * 2
530 + 90x + 70 = 100

Reorder the terms:
530 + 70 + 90x = 100

Combine like terms: 530 + 70 = 600
600 + 90x = 100

Solving
600 + 90x = 100

Solving for variable 'x'.

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

Add '-600' to each side of the equation.
600 + -600 + 90x = 100 + -600

Combine like terms: 600 + -600 = 0
0 + 90x = 100 + -600
90x = 100 + -600

Combine like terms: 100 + -600 = -500
90x = -500

Divide each side by '90'.
x = -5.555555556

Simplifying
x = -5.555555556

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