2-4(x+5)=6x-8

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Solution for 2-4(x+5)=6x-8 equation:


Simplifying
2 + -4(x + 5) = 6x + -8

Reorder the terms:
2 + -4(5 + x) = 6x + -8
2 + (5 * -4 + x * -4) = 6x + -8
2 + (-20 + -4x) = 6x + -8

Combine like terms: 2 + -20 = -18
-18 + -4x = 6x + -8

Reorder the terms:
-18 + -4x = -8 + 6x

Solving
-18 + -4x = -8 + 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.
-18 + -4x + -6x = -8 + 6x + -6x

Combine like terms: -4x + -6x = -10x
-18 + -10x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + -10x = -8 + 0
-18 + -10x = -8

Add '18' to each side of the equation.
-18 + 18 + -10x = -8 + 18

Combine like terms: -18 + 18 = 0
0 + -10x = -8 + 18
-10x = -8 + 18

Combine like terms: -8 + 18 = 10
-10x = 10

Divide each side by '-10'.
x = -1

Simplifying
x = -1

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