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

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


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

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

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

Reorder the terms:
4 + 10x = 3 + 9 + 6x + -1x

Combine like terms: 3 + 9 = 12
4 + 10x = 12 + 6x + -1x

Combine like terms: 6x + -1x = 5x
4 + 10x = 12 + 5x

Solving
4 + 10x = 12 + 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 = 12 + 5x + -5x

Combine like terms: 10x + -5x = 5x
4 + 5x = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 5x = 12 + 0
4 + 5x = 12

Add '-4' to each side of the equation.
4 + -4 + 5x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 12 + -4
5x = 12 + -4

Combine like terms: 12 + -4 = 8
5x = 8

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6

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