2(4x-5)=12-(2x+8)

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Solution for 2(4x-5)=12-(2x+8) equation:


Simplifying
2(4x + -5) = 12 + -1(2x + 8)

Reorder the terms:
2(-5 + 4x) = 12 + -1(2x + 8)
(-5 * 2 + 4x * 2) = 12 + -1(2x + 8)
(-10 + 8x) = 12 + -1(2x + 8)

Reorder the terms:
-10 + 8x = 12 + -1(8 + 2x)
-10 + 8x = 12 + (8 * -1 + 2x * -1)
-10 + 8x = 12 + (-8 + -2x)

Combine like terms: 12 + -8 = 4
-10 + 8x = 4 + -2x

Solving
-10 + 8x = 4 + -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.
-10 + 8x + 2x = 4 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-10 + 10x = 4 + 0
-10 + 10x = 4

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

Combine like terms: -10 + 10 = 0
0 + 10x = 4 + 10
10x = 4 + 10

Combine like terms: 4 + 10 = 14
10x = 14

Divide each side by '10'.
x = 1.4

Simplifying
x = 1.4

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