2x+4=10-4(x+3)

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Solution for 2x+4=10-4(x+3) equation:


Simplifying
2x + 4 = 10 + -4(x + 3)

Reorder the terms:
4 + 2x = 10 + -4(x + 3)

Reorder the terms:
4 + 2x = 10 + -4(3 + x)
4 + 2x = 10 + (3 * -4 + x * -4)
4 + 2x = 10 + (-12 + -4x)

Combine like terms: 10 + -12 = -2
4 + 2x = -2 + -4x

Solving
4 + 2x = -2 + -4x

Solving for variable 'x'.

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

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

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

Combine like terms: -4x + 4x = 0
4 + 6x = -2 + 0
4 + 6x = -2

Add '-4' to each side of the equation.
4 + -4 + 6x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = -2 + -4
6x = -2 + -4

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

Divide each side by '6'.
x = -1

Simplifying
x = -1

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