[(x+3)*2+4]*5+10x=90

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Solution for [(x+3)*2+4]*5+10x=90 equation:


Simplifying
[(x + 3) * 2 + 4] * 5 + 10x = 90

Reorder the terms:
[(3 + x) * 2 + 4] * 5 + 10x = 90

Reorder the terms for easier multiplication:
[2(3 + x) + 4] * 5 + 10x = 90
[(3 * 2 + x * 2) + 4] * 5 + 10x = 90
[(6 + 2x) + 4] * 5 + 10x = 90

Reorder the terms:
[6 + 4 + 2x] * 5 + 10x = 90

Combine like terms: 6 + 4 = 10
[10 + 2x] * 5 + 10x = 90

Reorder the terms for easier multiplication:
5[10 + 2x] + 10x = 90
[10 * 5 + 2x * 5] + 10x = 90
[50 + 10x] + 10x = 90

Combine like terms: 10x + 10x = 20x
50 + 20x = 90

Solving
50 + 20x = 90

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + 20x = 90 + -50

Combine like terms: 50 + -50 = 0
0 + 20x = 90 + -50
20x = 90 + -50

Combine like terms: 90 + -50 = 40
20x = 40

Divide each side by '20'.
x = 2

Simplifying
x = 2

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