Question

x+(x+u++2) = 156
$x + (x + 1) + (x + 2) = 156$
​

Answer 1

Step-by-step explanation:

Simplifying

x + x + 1 + x + 2 = 156

Reorder the terms:

1 + 2 + x + x + x = 156

Combine like terms: 1 + 2 = 3

3 + x + x + x = 156

Combine like terms: x + x = 2x

3 + 2x + x = 156

Combine like terms: 2x + x = 3x

3 + 3x = 156

Solving

3 + 3x = 156

Solving for variable 'x'.

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

Add '-3' to each side of the equation.

3 + -3 + 3x = 156 + -3

Combine like terms: 3 + -3 = 0

0 + 3x = 156 + -3

3x = 156 + -3

Combine like terms: 156 + -3 = 153

3x = 153

Divide each side by '3'.

x = 51

Simplifying

x = 51

Answer 2

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$\bf x + (x + 1) + (x + 2) = 156 \\ \bf \longrightarrow 3x + 3 = 156 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bf \longrightarrow 3x = 156 - 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bf \longrightarrow 3x = 153 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bf \longrightarrow x = \frac{153}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bf \longrightarrow x = { \color{purple}{ \underline{ \boxed{ \bf 51}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

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