7(3x+13)+4(x+9)=252

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Solution for 7(3x+13)+4(x+9)=252 equation:


Simplifying
7(3x + 13) + 4(x + 9) = 252

Reorder the terms:
7(13 + 3x) + 4(x + 9) = 252
(13 * 7 + 3x * 7) + 4(x + 9) = 252
(91 + 21x) + 4(x + 9) = 252

Reorder the terms:
91 + 21x + 4(9 + x) = 252
91 + 21x + (9 * 4 + x * 4) = 252
91 + 21x + (36 + 4x) = 252

Reorder the terms:
91 + 36 + 21x + 4x = 252

Combine like terms: 91 + 36 = 127
127 + 21x + 4x = 252

Combine like terms: 21x + 4x = 25x
127 + 25x = 252

Solving
127 + 25x = 252

Solving for variable 'x'.

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

Add '-127' to each side of the equation.
127 + -127 + 25x = 252 + -127

Combine like terms: 127 + -127 = 0
0 + 25x = 252 + -127
25x = 252 + -127

Combine like terms: 252 + -127 = 125
25x = 125

Divide each side by '25'.
x = 5

Simplifying
x = 5

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