(4(x+2))+(5x-7)=118

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Solution for (4(x+2))+(5x-7)=118 equation:


Simplifying
(4(x + 2)) + (5x + -7) = 118

Reorder the terms:
(4(2 + x)) + (5x + -7) = 118
((2 * 4 + x * 4)) + (5x + -7) = 118
((8 + 4x)) + (5x + -7) = 118
(8 + 4x) + (5x + -7) = 118

Remove parenthesis around (8 + 4x)
8 + 4x + (5x + -7) = 118

Reorder the terms:
8 + 4x + (-7 + 5x) = 118

Remove parenthesis around (-7 + 5x)
8 + 4x + -7 + 5x = 118

Reorder the terms:
8 + -7 + 4x + 5x = 118

Combine like terms: 8 + -7 = 1
1 + 4x + 5x = 118

Combine like terms: 4x + 5x = 9x
1 + 9x = 118

Solving
1 + 9x = 118

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 9x = 118 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = 118 + -1
9x = 118 + -1

Combine like terms: 118 + -1 = 117
9x = 117

Divide each side by '9'.
x = 13

Simplifying
x = 13

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