10-2(2x-9)-4(6+x)=52

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Solution for 10-2(2x-9)-4(6+x)=52 equation:


Simplifying
10 + -2(2x + -9) + -4(6 + x) = 52

Reorder the terms:
10 + -2(-9 + 2x) + -4(6 + x) = 52
10 + (-9 * -2 + 2x * -2) + -4(6 + x) = 52
10 + (18 + -4x) + -4(6 + x) = 52
10 + 18 + -4x + (6 * -4 + x * -4) = 52
10 + 18 + -4x + (-24 + -4x) = 52

Reorder the terms:
10 + 18 + -24 + -4x + -4x = 52

Combine like terms: 10 + 18 = 28
28 + -24 + -4x + -4x = 52

Combine like terms: 28 + -24 = 4
4 + -4x + -4x = 52

Combine like terms: -4x + -4x = -8x
4 + -8x = 52

Solving
4 + -8x = 52

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -8x = 52 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = 52 + -4
-8x = 52 + -4

Combine like terms: 52 + -4 = 48
-8x = 48

Divide each side by '-8'.
x = -6

Simplifying
x = -6

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