2x+4(x+5)=9x-10

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Solution for 2x+4(x+5)=9x-10 equation:


Simplifying
2x + 4(x + 5) = 9x + -10

Reorder the terms:
2x + 4(5 + x) = 9x + -10
2x + (5 * 4 + x * 4) = 9x + -10
2x + (20 + 4x) = 9x + -10

Reorder the terms:
20 + 2x + 4x = 9x + -10

Combine like terms: 2x + 4x = 6x
20 + 6x = 9x + -10

Reorder the terms:
20 + 6x = -10 + 9x

Solving
20 + 6x = -10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
20 + 6x + -9x = -10 + 9x + -9x

Combine like terms: 6x + -9x = -3x
20 + -3x = -10 + 9x + -9x

Combine like terms: 9x + -9x = 0
20 + -3x = -10 + 0
20 + -3x = -10

Add '-20' to each side of the equation.
20 + -20 + -3x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = -10 + -20
-3x = -10 + -20

Combine like terms: -10 + -20 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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