2(x-7)+2(-3x-9)=10

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Solution for 2(x-7)+2(-3x-9)=10 equation: 


Simplifying
2(x + -7) + 2(-3x + -9) = 10

Reorder the terms:
2(-7 + x) + 2(-3x + -9) = 10
(-7 * 2 + x * 2) + 2(-3x + -9) = 10
(-14 + 2x) + 2(-3x + -9) = 10

Reorder the terms:
-14 + 2x + 2(-9 + -3x) = 10
-14 + 2x + (-9 * 2 + -3x * 2) = 10
-14 + 2x + (-18 + -6x) = 10

Reorder the terms:
-14 + -18 + 2x + -6x = 10

Combine like terms: -14 + -18 = -32
-32 + 2x + -6x = 10

Combine like terms: 2x + -6x = -4x
-32 + -4x = 10

Solving
-32 + -4x = 10

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + -4x = 10 + 32

Combine like terms: -32 + 32 = 0
0 + -4x = 10 + 32
-4x = 10 + 32

Combine like terms: 10 + 32 = 42
-4x = 42

Divide each side by '-4'.
x = -10.5

Simplifying
x = -10.5

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