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

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


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

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

Reorder the terms:
20 + 2x + 4x = 5x + -2

Combine like terms: 2x + 4x = 6x
20 + 6x = 5x + -2

Reorder the terms:
20 + 6x = -2 + 5x

Solving
20 + 6x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
20 + 6x + -5x = -2 + 5x + -5x

Combine like terms: 6x + -5x = 1x
20 + 1x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + 1x = -2 + 0
20 + 1x = -2

Add '-20' to each side of the equation.
20 + -20 + 1x = -2 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = -2 + -20
1x = -2 + -20

Combine like terms: -2 + -20 = -22
1x = -22

Divide each side by '1'.
x = -22

Simplifying
x = -22

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