2(x-3)+8x+4=5(x+2)

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Solution for 2(x-3)+8x+4=5(x+2) equation:


Simplifying
2(x + -3) + 8x + 4 = 5(x + 2)

Reorder the terms:
2(-3 + x) + 8x + 4 = 5(x + 2)
(-3 * 2 + x * 2) + 8x + 4 = 5(x + 2)
(-6 + 2x) + 8x + 4 = 5(x + 2)

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

Combine like terms: -6 + 4 = -2
-2 + 2x + 8x = 5(x + 2)

Combine like terms: 2x + 8x = 10x
-2 + 10x = 5(x + 2)

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

Solving
-2 + 10x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 10x + -5x = 10 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-2 + 5x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 5x = 10 + 0
-2 + 5x = 10

Add '2' to each side of the equation.
-2 + 2 + 5x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 10 + 2
5x = 10 + 2

Combine like terms: 10 + 2 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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