2(3-x)+4=8-3(2x-5)

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Solution for 2(3-x)+4=8-3(2x-5) equation:


Simplifying
2(3 + -1x) + 4 = 8 + -3(2x + -5)
(3 * 2 + -1x * 2) + 4 = 8 + -3(2x + -5)
(6 + -2x) + 4 = 8 + -3(2x + -5)

Reorder the terms:
6 + 4 + -2x = 8 + -3(2x + -5)

Combine like terms: 6 + 4 = 10
10 + -2x = 8 + -3(2x + -5)

Reorder the terms:
10 + -2x = 8 + -3(-5 + 2x)
10 + -2x = 8 + (-5 * -3 + 2x * -3)
10 + -2x = 8 + (15 + -6x)

Combine like terms: 8 + 15 = 23
10 + -2x = 23 + -6x

Solving
10 + -2x = 23 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
10 + -2x + 6x = 23 + -6x + 6x

Combine like terms: -2x + 6x = 4x
10 + 4x = 23 + -6x + 6x

Combine like terms: -6x + 6x = 0
10 + 4x = 23 + 0
10 + 4x = 23

Add '-10' to each side of the equation.
10 + -10 + 4x = 23 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 23 + -10
4x = 23 + -10

Combine like terms: 23 + -10 = 13
4x = 13

Divide each side by '4'.
x = 3.25

Simplifying
x = 3.25

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