x(5-2)+(8x+1)=-(5x+10)+101

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Solution for x(5-2)+(8x+1)=-(5x+10)+101 equation:


Simplifying
x(5 + -2) + (8x + 1) = -1(5x + 10) + 101

Combine like terms: 5 + -2 = 3
x(3) + (8x + 1) = -1(5x + 10) + 101

Reorder the terms for easier multiplication:
3x + (8x + 1) = -1(5x + 10) + 101

Reorder the terms:
3x + (1 + 8x) = -1(5x + 10) + 101

Remove parenthesis around (1 + 8x)
3x + 1 + 8x = -1(5x + 10) + 101

Reorder the terms:
1 + 3x + 8x = -1(5x + 10) + 101

Combine like terms: 3x + 8x = 11x
1 + 11x = -1(5x + 10) + 101

Reorder the terms:
1 + 11x = -1(10 + 5x) + 101
1 + 11x = (10 * -1 + 5x * -1) + 101
1 + 11x = (-10 + -5x) + 101

Reorder the terms:
1 + 11x = -10 + 101 + -5x

Combine like terms: -10 + 101 = 91
1 + 11x = 91 + -5x

Solving
1 + 11x = 91 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
1 + 11x + 5x = 91 + -5x + 5x

Combine like terms: 11x + 5x = 16x
1 + 16x = 91 + -5x + 5x

Combine like terms: -5x + 5x = 0
1 + 16x = 91 + 0
1 + 16x = 91

Add '-1' to each side of the equation.
1 + -1 + 16x = 91 + -1

Combine like terms: 1 + -1 = 0
0 + 16x = 91 + -1
16x = 91 + -1

Combine like terms: 91 + -1 = 90
16x = 90

Divide each side by '16'.
x = 5.625

Simplifying
x = 5.625

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