15-2(x-5)=12(4-x)

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Solution for 15-2(x-5)=12(4-x) equation:


Simplifying
15 + -2(x + -5) = 12(4 + -1x)

Reorder the terms:
15 + -2(-5 + x) = 12(4 + -1x)
15 + (-5 * -2 + x * -2) = 12(4 + -1x)
15 + (10 + -2x) = 12(4 + -1x)

Combine like terms: 15 + 10 = 25
25 + -2x = 12(4 + -1x)
25 + -2x = (4 * 12 + -1x * 12)
25 + -2x = (48 + -12x)

Solving
25 + -2x = 48 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
25 + -2x + 12x = 48 + -12x + 12x

Combine like terms: -2x + 12x = 10x
25 + 10x = 48 + -12x + 12x

Combine like terms: -12x + 12x = 0
25 + 10x = 48 + 0
25 + 10x = 48

Add '-25' to each side of the equation.
25 + -25 + 10x = 48 + -25

Combine like terms: 25 + -25 = 0
0 + 10x = 48 + -25
10x = 48 + -25

Combine like terms: 48 + -25 = 23
10x = 23

Divide each side by '10'.
x = 2.3

Simplifying
x = 2.3

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