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

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Solution for 6(x-3)-4(x-1)=5-(x+3) equation:


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

Reorder the terms:
6(-3 + x) + -4(x + -1) = 5 + -1(x + 3)
(-3 * 6 + x * 6) + -4(x + -1) = 5 + -1(x + 3)
(-18 + 6x) + -4(x + -1) = 5 + -1(x + 3)

Reorder the terms:
-18 + 6x + -4(-1 + x) = 5 + -1(x + 3)
-18 + 6x + (-1 * -4 + x * -4) = 5 + -1(x + 3)
-18 + 6x + (4 + -4x) = 5 + -1(x + 3)

Reorder the terms:
-18 + 4 + 6x + -4x = 5 + -1(x + 3)

Combine like terms: -18 + 4 = -14
-14 + 6x + -4x = 5 + -1(x + 3)

Combine like terms: 6x + -4x = 2x
-14 + 2x = 5 + -1(x + 3)

Reorder the terms:
-14 + 2x = 5 + -1(3 + x)
-14 + 2x = 5 + (3 * -1 + x * -1)
-14 + 2x = 5 + (-3 + -1x)

Combine like terms: 5 + -3 = 2
-14 + 2x = 2 + -1x

Solving
-14 + 2x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-14 + 2x + x = 2 + -1x + x

Combine like terms: 2x + x = 3x
-14 + 3x = 2 + -1x + x

Combine like terms: -1x + x = 0
-14 + 3x = 2 + 0
-14 + 3x = 2

Add '14' to each side of the equation.
-14 + 14 + 3x = 2 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = 2 + 14
3x = 2 + 14

Combine like terms: 2 + 14 = 16
3x = 16

Divide each side by '3'.
x = 5.333333333

Simplifying
x = 5.333333333

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