10x+4=6x-4(x+5)

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Solution for 10x+4=6x-4(x+5) equation:


Simplifying
10x + 4 = 6x + -4(x + 5)

Reorder the terms:
4 + 10x = 6x + -4(x + 5)

Reorder the terms:
4 + 10x = 6x + -4(5 + x)
4 + 10x = 6x + (5 * -4 + x * -4)
4 + 10x = 6x + (-20 + -4x)

Reorder the terms:
4 + 10x = -20 + 6x + -4x

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

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

Combine like terms: 10x + -2x = 8x
4 + 8x = -20 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 8x = -20 + 0
4 + 8x = -20

Add '-4' to each side of the equation.
4 + -4 + 8x = -20 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = -20 + -4
8x = -20 + -4

Combine like terms: -20 + -4 = -24
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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