4(x+5)=3x-10-5x

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Solution for 4(x+5)=3x-10-5x equation:


Simplifying
4(x + 5) = 3x + -10 + -5x

Reorder the terms:
4(5 + x) = 3x + -10 + -5x
(5 * 4 + x * 4) = 3x + -10 + -5x
(20 + 4x) = 3x + -10 + -5x

Reorder the terms:
20 + 4x = -10 + 3x + -5x

Combine like terms: 3x + -5x = -2x
20 + 4x = -10 + -2x

Solving
20 + 4x = -10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
20 + 4x + 2x = -10 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
20 + 6x = -10 + 0
20 + 6x = -10

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

Combine like terms: 20 + -20 = 0
0 + 6x = -10 + -20
6x = -10 + -20

Combine like terms: -10 + -20 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5

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