2x+4(38-x)=116

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Solution for 2x+4(38-x)=116 equation:


Simplifying
2x + 4(38 + -1x) = 116
2x + (38 * 4 + -1x * 4) = 116
2x + (152 + -4x) = 116

Reorder the terms:
152 + 2x + -4x = 116

Combine like terms: 2x + -4x = -2x
152 + -2x = 116

Solving
152 + -2x = 116

Solving for variable 'x'.

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

Add '-152' to each side of the equation.
152 + -152 + -2x = 116 + -152

Combine like terms: 152 + -152 = 0
0 + -2x = 116 + -152
-2x = 116 + -152

Combine like terms: 116 + -152 = -36
-2x = -36

Divide each side by '-2'.
x = 18

Simplifying
x = 18

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