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

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Solution for 1+2(x-1)+3x=5+x-18 equation:


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

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

Combine like terms: 1 + -2 = -1
-1 + 2x + 3x = 5 + x + -18

Combine like terms: 2x + 3x = 5x
-1 + 5x = 5 + x + -18

Reorder the terms:
-1 + 5x = 5 + -18 + x

Combine like terms: 5 + -18 = -13
-1 + 5x = -13 + x

Solving
-1 + 5x = -13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1 + 5x + -1x = -13 + x + -1x

Combine like terms: 5x + -1x = 4x
-1 + 4x = -13 + x + -1x

Combine like terms: x + -1x = 0
-1 + 4x = -13 + 0
-1 + 4x = -13

Add '1' to each side of the equation.
-1 + 1 + 4x = -13 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = -13 + 1
4x = -13 + 1

Combine like terms: -13 + 1 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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