4(3-x)=10-(2x-5)

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Solution for 4(3-x)=10-(2x-5) equation:


Simplifying
4(3 + -1x) = 10 + -1(2x + -5)
(3 * 4 + -1x * 4) = 10 + -1(2x + -5)
(12 + -4x) = 10 + -1(2x + -5)

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

Combine like terms: 10 + 5 = 15
12 + -4x = 15 + -2x

Solving
12 + -4x = 15 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
12 + -4x + 2x = 15 + -2x + 2x

Combine like terms: -4x + 2x = -2x
12 + -2x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + -2x = 15 + 0
12 + -2x = 15

Add '-12' to each side of the equation.
12 + -12 + -2x = 15 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 15 + -12
-2x = 15 + -12

Combine like terms: 15 + -12 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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