75=(2x+3)+(3x+4)+(2x-9)

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Solution for 75=(2x+3)+(3x+4)+(2x-9) equation:


Simplifying
75 = (2x + 3) + (3x + 4) + (2x + -9)

Reorder the terms:
75 = (3 + 2x) + (3x + 4) + (2x + -9)

Remove parenthesis around (3 + 2x)
75 = 3 + 2x + (3x + 4) + (2x + -9)

Reorder the terms:
75 = 3 + 2x + (4 + 3x) + (2x + -9)

Remove parenthesis around (4 + 3x)
75 = 3 + 2x + 4 + 3x + (2x + -9)

Reorder the terms:
75 = 3 + 2x + 4 + 3x + (-9 + 2x)

Remove parenthesis around (-9 + 2x)
75 = 3 + 2x + 4 + 3x + -9 + 2x

Reorder the terms:
75 = 3 + 4 + -9 + 2x + 3x + 2x

Combine like terms: 3 + 4 = 7
75 = 7 + -9 + 2x + 3x + 2x

Combine like terms: 7 + -9 = -2
75 = -2 + 2x + 3x + 2x

Combine like terms: 2x + 3x = 5x
75 = -2 + 5x + 2x

Combine like terms: 5x + 2x = 7x
75 = -2 + 7x

Solving
75 = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
75 + -7x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
75 + -7x = -2 + 0
75 + -7x = -2

Add '-75' to each side of the equation.
75 + -75 + -7x = -2 + -75

Combine like terms: 75 + -75 = 0
0 + -7x = -2 + -75
-7x = -2 + -75

Combine like terms: -2 + -75 = -77
-7x = -77

Divide each side by '-7'.
x = 11

Simplifying
x = 11

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