18x-5x+2=-(x-3)-7

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Solution for 18x-5x+2=-(x-3)-7 equation:


Simplifying
18x + -5x + 2 = -1(x + -3) + -7

Reorder the terms:
2 + 18x + -5x = -1(x + -3) + -7

Combine like terms: 18x + -5x = 13x
2 + 13x = -1(x + -3) + -7

Reorder the terms:
2 + 13x = -1(-3 + x) + -7
2 + 13x = (-3 * -1 + x * -1) + -7
2 + 13x = (3 + -1x) + -7

Reorder the terms:
2 + 13x = 3 + -7 + -1x

Combine like terms: 3 + -7 = -4
2 + 13x = -4 + -1x

Solving
2 + 13x = -4 + -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.
2 + 13x + x = -4 + -1x + x

Combine like terms: 13x + x = 14x
2 + 14x = -4 + -1x + x

Combine like terms: -1x + x = 0
2 + 14x = -4 + 0
2 + 14x = -4

Add '-2' to each side of the equation.
2 + -2 + 14x = -4 + -2

Combine like terms: 2 + -2 = 0
0 + 14x = -4 + -2
14x = -4 + -2

Combine like terms: -4 + -2 = -6
14x = -6

Divide each side by '14'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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