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

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


Simplifying
10(5 + -1x) + 4 = -4(x + -2) + -10
(5 * 10 + -1x * 10) + 4 = -4(x + -2) + -10
(50 + -10x) + 4 = -4(x + -2) + -10

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

Combine like terms: 50 + 4 = 54
54 + -10x = -4(x + -2) + -10

Reorder the terms:
54 + -10x = -4(-2 + x) + -10
54 + -10x = (-2 * -4 + x * -4) + -10
54 + -10x = (8 + -4x) + -10

Reorder the terms:
54 + -10x = 8 + -10 + -4x

Combine like terms: 8 + -10 = -2
54 + -10x = -2 + -4x

Solving
54 + -10x = -2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
54 + -10x + 4x = -2 + -4x + 4x

Combine like terms: -10x + 4x = -6x
54 + -6x = -2 + -4x + 4x

Combine like terms: -4x + 4x = 0
54 + -6x = -2 + 0
54 + -6x = -2

Add '-54' to each side of the equation.
54 + -54 + -6x = -2 + -54

Combine like terms: 54 + -54 = 0
0 + -6x = -2 + -54
-6x = -2 + -54

Combine like terms: -2 + -54 = -56
-6x = -56

Divide each side by '-6'.
x = 9.333333333

Simplifying
x = 9.333333333

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