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

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


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

Reorder the terms:
x + 2 + -4(-2 + x) = 5(3 + -1x) + 3
x + 2 + (-2 * -4 + x * -4) = 5(3 + -1x) + 3
x + 2 + (8 + -4x) = 5(3 + -1x) + 3

Reorder the terms:
2 + 8 + x + -4x = 5(3 + -1x) + 3

Combine like terms: 2 + 8 = 10
10 + x + -4x = 5(3 + -1x) + 3

Combine like terms: x + -4x = -3x
10 + -3x = 5(3 + -1x) + 3
10 + -3x = (3 * 5 + -1x * 5) + 3
10 + -3x = (15 + -5x) + 3

Reorder the terms:
10 + -3x = 15 + 3 + -5x

Combine like terms: 15 + 3 = 18
10 + -3x = 18 + -5x

Solving
10 + -3x = 18 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
10 + -3x + 5x = 18 + -5x + 5x

Combine like terms: -3x + 5x = 2x
10 + 2x = 18 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + 2x = 18 + 0
10 + 2x = 18

Add '-10' to each side of the equation.
10 + -10 + 2x = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 18 + -10
2x = 18 + -10

Combine like terms: 18 + -10 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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