6(x-2)-4(x+3)=10-42

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Solution for 6(x-2)-4(x+3)=10-42 equation: 


Simplifying
6(x + -2) + -4(x + 3) = 10 + -42

Reorder the terms:
6(-2 + x) + -4(x + 3) = 10 + -42
(-2 * 6 + x * 6) + -4(x + 3) = 10 + -42
(-12 + 6x) + -4(x + 3) = 10 + -42

Reorder the terms:
-12 + 6x + -4(3 + x) = 10 + -42
-12 + 6x + (3 * -4 + x * -4) = 10 + -42
-12 + 6x + (-12 + -4x) = 10 + -42

Reorder the terms:
-12 + -12 + 6x + -4x = 10 + -42

Combine like terms: -12 + -12 = -24
-24 + 6x + -4x = 10 + -42

Combine like terms: 6x + -4x = 2x
-24 + 2x = 10 + -42

Combine like terms: 10 + -42 = -32
-24 + 2x = -32

Solving
-24 + 2x = -32

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 2x = -32 + 24

Combine like terms: -24 + 24 = 0
0 + 2x = -32 + 24
2x = -32 + 24

Combine like terms: -32 + 24 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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