5-2(x-5)=4x-6

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Solution for 5-2(x-5)=4x-6 equation:


Simplifying
5 + -2(x + -5) = 4x + -6

Reorder the terms:
5 + -2(-5 + x) = 4x + -6
5 + (-5 * -2 + x * -2) = 4x + -6
5 + (10 + -2x) = 4x + -6

Combine like terms: 5 + 10 = 15
15 + -2x = 4x + -6

Reorder the terms:
15 + -2x = -6 + 4x

Solving
15 + -2x = -6 + 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.
15 + -2x + -4x = -6 + 4x + -4x

Combine like terms: -2x + -4x = -6x
15 + -6x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -6x = -6 + 0
15 + -6x = -6

Add '-15' to each side of the equation.
15 + -15 + -6x = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = -6 + -15
-6x = -6 + -15

Combine like terms: -6 + -15 = -21
-6x = -21

Divide each side by '-6'.
x = 3.5

Simplifying
x = 3.5

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