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

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Solution for 1+4(6-2x)-(x-3)=5x equation:


Simplifying
1 + 4(6 + -2x) + -1(x + -3) = 5x
1 + (6 * 4 + -2x * 4) + -1(x + -3) = 5x
1 + (24 + -8x) + -1(x + -3) = 5x

Reorder the terms:
1 + 24 + -8x + -1(-3 + x) = 5x
1 + 24 + -8x + (-3 * -1 + x * -1) = 5x
1 + 24 + -8x + (3 + -1x) = 5x

Reorder the terms:
1 + 24 + 3 + -8x + -1x = 5x

Combine like terms: 1 + 24 = 25
25 + 3 + -8x + -1x = 5x

Combine like terms: 25 + 3 = 28
28 + -8x + -1x = 5x

Combine like terms: -8x + -1x = -9x
28 + -9x = 5x

Solving
28 + -9x = 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.
28 + -9x + -5x = 5x + -5x

Combine like terms: -9x + -5x = -14x
28 + -14x = 5x + -5x

Combine like terms: 5x + -5x = 0
28 + -14x = 0

Add '-28' to each side of the equation.
28 + -28 + -14x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -14x = 0 + -28
-14x = 0 + -28

Combine like terms: 0 + -28 = -28
-14x = -28

Divide each side by '-14'.
x = 2

Simplifying
x = 2

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