(10x+4)+(4x-3)=12x+16

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Solution for (10x+4)+(4x-3)=12x+16 equation:


Simplifying
(10x + 4) + (4x + -3) = 12x + 16

Reorder the terms:
(4 + 10x) + (4x + -3) = 12x + 16

Remove parenthesis around (4 + 10x)
4 + 10x + (4x + -3) = 12x + 16

Reorder the terms:
4 + 10x + (-3 + 4x) = 12x + 16

Remove parenthesis around (-3 + 4x)
4 + 10x + -3 + 4x = 12x + 16

Reorder the terms:
4 + -3 + 10x + 4x = 12x + 16

Combine like terms: 4 + -3 = 1
1 + 10x + 4x = 12x + 16

Combine like terms: 10x + 4x = 14x
1 + 14x = 12x + 16

Reorder the terms:
1 + 14x = 16 + 12x

Solving
1 + 14x = 16 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
1 + 14x + -12x = 16 + 12x + -12x

Combine like terms: 14x + -12x = 2x
1 + 2x = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
1 + 2x = 16 + 0
1 + 2x = 16

Add '-1' to each side of the equation.
1 + -1 + 2x = 16 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 16 + -1
2x = 16 + -1

Combine like terms: 16 + -1 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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