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

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Solution for 6-(x-4)=3(x-2)+5 equation: 


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

Reorder the terms:
6 + -1(-4 + x) = 3(x + -2) + 5
6 + (-4 * -1 + x * -1) = 3(x + -2) + 5
6 + (4 + -1x) = 3(x + -2) + 5

Combine like terms: 6 + 4 = 10
10 + -1x = 3(x + -2) + 5

Reorder the terms:
10 + -1x = 3(-2 + x) + 5
10 + -1x = (-2 * 3 + x * 3) + 5
10 + -1x = (-6 + 3x) + 5

Reorder the terms:
10 + -1x = -6 + 5 + 3x

Combine like terms: -6 + 5 = -1
10 + -1x = -1 + 3x

Solving
10 + -1x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -1x + -3x = -1 + 3x + -3x

Combine like terms: -1x + -3x = -4x
10 + -4x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -4x = -1 + 0
10 + -4x = -1

Add '-10' to each side of the equation.
10 + -10 + -4x = -1 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -1 + -10
-4x = -1 + -10

Combine like terms: -1 + -10 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75

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