10(x+5)-4(x+2)=6

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Solution for 10(x+5)-4(x+2)=6 equation: 


Simplifying
10(x + 5) + -4(x + 2) = 6

Reorder the terms:
10(5 + x) + -4(x + 2) = 6
(5 * 10 + x * 10) + -4(x + 2) = 6
(50 + 10x) + -4(x + 2) = 6

Reorder the terms:
50 + 10x + -4(2 + x) = 6
50 + 10x + (2 * -4 + x * -4) = 6
50 + 10x + (-8 + -4x) = 6

Reorder the terms:
50 + -8 + 10x + -4x = 6

Combine like terms: 50 + -8 = 42
42 + 10x + -4x = 6

Combine like terms: 10x + -4x = 6x
42 + 6x = 6

Solving
42 + 6x = 6

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 6x = 6 + -42

Combine like terms: 42 + -42 = 0
0 + 6x = 6 + -42
6x = 6 + -42

Combine like terms: 6 + -42 = -36
6x = -36

Divide each side by '6'.
x = -6

Simplifying
x = -6

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