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)

Combine like terms: 5 + 4 = 9
2 + 6x = (9 + x)

Remove parenthesis around (9 + x)
2 + 6x = 9 + x

Solving
2 + 6x = 9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 6x + -1x = 9 + x + -1x

Combine like terms: 6x + -1x = 5x
2 + 5x = 9 + x + -1x

Combine like terms: x + -1x = 0
2 + 5x = 9 + 0
2 + 5x = 9

Add '-2' to each side of the equation.
2 + -2 + 5x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 9 + -2
5x = 9 + -2

Combine like terms: 9 + -2 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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