6x-13-4x=-6x+5(1+2x)

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Solution for 6x-13-4x=-6x+5(1+2x) equation:


Simplifying
6x + -13 + -4x = -6x + 5(1 + 2x)

Reorder the terms:
-13 + 6x + -4x = -6x + 5(1 + 2x)

Combine like terms: 6x + -4x = 2x
-13 + 2x = -6x + 5(1 + 2x)
-13 + 2x = -6x + (1 * 5 + 2x * 5)
-13 + 2x = -6x + (5 + 10x)

Reorder the terms:
-13 + 2x = 5 + -6x + 10x

Combine like terms: -6x + 10x = 4x
-13 + 2x = 5 + 4x

Solving
-13 + 2x = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-13 + 2x + -4x = 5 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-13 + -2x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-13 + -2x = 5 + 0
-13 + -2x = 5

Add '13' to each side of the equation.
-13 + 13 + -2x = 5 + 13

Combine like terms: -13 + 13 = 0
0 + -2x = 5 + 13
-2x = 5 + 13

Combine like terms: 5 + 13 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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