2-4(x+3)=4-2(3x+5)

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Solution for 2-4(x+3)=4-2(3x+5) equation:


Simplifying
2 + -4(x + 3) = 4 + -2(3x + 5)

Reorder the terms:
2 + -4(3 + x) = 4 + -2(3x + 5)
2 + (3 * -4 + x * -4) = 4 + -2(3x + 5)
2 + (-12 + -4x) = 4 + -2(3x + 5)

Combine like terms: 2 + -12 = -10
-10 + -4x = 4 + -2(3x + 5)

Reorder the terms:
-10 + -4x = 4 + -2(5 + 3x)
-10 + -4x = 4 + (5 * -2 + 3x * -2)
-10 + -4x = 4 + (-10 + -6x)

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

Solving
-10 + -4x = -6 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-10 + -4x + 6x = -6 + -6x + 6x

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

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

Add '10' to each side of the equation.
-10 + 10 + 2x = -6 + 10

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

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

Divide each side by '2'.
x = 2

Simplifying
x = 2

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