(10x+4)-(5x-2)=12

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Solution for (10x+4)-(5x-2)=12 equation:


Simplifying
(10x + 4) + -1(5x + -2) = 12

Reorder the terms:
(4 + 10x) + -1(5x + -2) = 12

Remove parenthesis around (4 + 10x)
4 + 10x + -1(5x + -2) = 12

Reorder the terms:
4 + 10x + -1(-2 + 5x) = 12
4 + 10x + (-2 * -1 + 5x * -1) = 12
4 + 10x + (2 + -5x) = 12

Reorder the terms:
4 + 2 + 10x + -5x = 12

Combine like terms: 4 + 2 = 6
6 + 10x + -5x = 12

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

Solving
6 + 5x = 12

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 5x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 12 + -6
5x = 12 + -6

Combine like terms: 12 + -6 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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