10x+4=2(3x+1)-x+9

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Solution for 10x+4=2(3x+1)-x+9 equation:


Simplifying
10x + 4 = 2(3x + 1) + -1x + 9

Reorder the terms:
4 + 10x = 2(3x + 1) + -1x + 9

Reorder the terms:
4 + 10x = 2(1 + 3x) + -1x + 9
4 + 10x = (1 * 2 + 3x * 2) + -1x + 9
4 + 10x = (2 + 6x) + -1x + 9

Reorder the terms:
4 + 10x = 2 + 9 + 6x + -1x

Combine like terms: 2 + 9 = 11
4 + 10x = 11 + 6x + -1x

Combine like terms: 6x + -1x = 5x
4 + 10x = 11 + 5x

Solving
4 + 10x = 11 + 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.
4 + 10x + -5x = 11 + 5x + -5x

Combine like terms: 10x + -5x = 5x
4 + 5x = 11 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 5x = 11 + 0
4 + 5x = 11

Add '-4' to each side of the equation.
4 + -4 + 5x = 11 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 11 + -4
5x = 11 + -4

Combine like terms: 11 + -4 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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