2(3x-4)+10=5(x+4)

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Solution for 2(3x-4)+10=5(x+4) equation:


Simplifying
2(3x + -4) + 10 = 5(x + 4)

Reorder the terms:
2(-4 + 3x) + 10 = 5(x + 4)
(-4 * 2 + 3x * 2) + 10 = 5(x + 4)
(-8 + 6x) + 10 = 5(x + 4)

Reorder the terms:
-8 + 10 + 6x = 5(x + 4)

Combine like terms: -8 + 10 = 2
2 + 6x = 5(x + 4)

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

Solving
2 + 6x = 20 + 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 + 6x + -5x = 20 + 5x + -5x

Combine like terms: 6x + -5x = 1x
2 + 1x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + 1x = 20 + 0
2 + 1x = 20

Add '-2' to each side of the equation.
2 + -2 + 1x = 20 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 20 + -2
1x = 20 + -2

Combine like terms: 20 + -2 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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