2[4(x+30)-3x]=38

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Solution for 2[4(x+30)-3x]=38 equation: 


Simplifying
2[4(x + 30) + -3x] = 38

Reorder the terms:
2[4(30 + x) + -3x] = 38
2[(30 * 4 + x * 4) + -3x] = 38
2[(120 + 4x) + -3x] = 38

Combine like terms: 4x + -3x = 1x
2[120 + 1x] = 38
[120 * 2 + 1x * 2] = 38
[240 + 2x] = 38

Solving
240 + 2x = 38

Solving for variable 'x'.

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

Add '-240' to each side of the equation.
240 + -240 + 2x = 38 + -240

Combine like terms: 240 + -240 = 0
0 + 2x = 38 + -240
2x = 38 + -240

Combine like terms: 38 + -240 = -202
2x = -202

Divide each side by '2'.
x = -101

Simplifying
x = -101

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