(44+6x-2).5=10x-7

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Solution for (44+6x-2).5=10x-7 equation:


Simplifying
(44 + 6x + -2) * 0.5 = 10x + -7

Reorder the terms:
(44 + -2 + 6x) * 0.5 = 10x + -7

Combine like terms: 44 + -2 = 42
(42 + 6x) * 0.5 = 10x + -7

Reorder the terms for easier multiplication:
0.5(42 + 6x) = 10x + -7
(42 * 0.5 + 6x * 0.5) = 10x + -7
(21 + 3x) = 10x + -7

Reorder the terms:
21 + 3x = -7 + 10x

Solving
21 + 3x = -7 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
21 + 3x + -10x = -7 + 10x + -10x

Combine like terms: 3x + -10x = -7x
21 + -7x = -7 + 10x + -10x

Combine like terms: 10x + -10x = 0
21 + -7x = -7 + 0
21 + -7x = -7

Add '-21' to each side of the equation.
21 + -21 + -7x = -7 + -21

Combine like terms: 21 + -21 = 0
0 + -7x = -7 + -21
-7x = -7 + -21

Combine like terms: -7 + -21 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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