6-x-4=-13x-100+3(2-x)

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Solution for 6-x-4=-13x-100+3(2-x) equation:


Simplifying
6 + -1x + -4 = -13x + -100 + 3(2 + -1x)

Reorder the terms:
6 + -4 + -1x = -13x + -100 + 3(2 + -1x)

Combine like terms: 6 + -4 = 2
2 + -1x = -13x + -100 + 3(2 + -1x)
2 + -1x = -13x + -100 + (2 * 3 + -1x * 3)
2 + -1x = -13x + -100 + (6 + -3x)

Reorder the terms:
2 + -1x = -100 + 6 + -13x + -3x

Combine like terms: -100 + 6 = -94
2 + -1x = -94 + -13x + -3x

Combine like terms: -13x + -3x = -16x
2 + -1x = -94 + -16x

Solving
2 + -1x = -94 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
2 + -1x + 16x = -94 + -16x + 16x

Combine like terms: -1x + 16x = 15x
2 + 15x = -94 + -16x + 16x

Combine like terms: -16x + 16x = 0
2 + 15x = -94 + 0
2 + 15x = -94

Add '-2' to each side of the equation.
2 + -2 + 15x = -94 + -2

Combine like terms: 2 + -2 = 0
0 + 15x = -94 + -2
15x = -94 + -2

Combine like terms: -94 + -2 = -96
15x = -96

Divide each side by '15'.
x = -6.4

Simplifying
x = -6.4

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