2x+4(x+3)=-5+4x-13

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Solution for 2x+4(x+3)=-5+4x-13 equation:


Simplifying
2x + 4(x + 3) = -5 + 4x + -13

Reorder the terms:
2x + 4(3 + x) = -5 + 4x + -13
2x + (3 * 4 + x * 4) = -5 + 4x + -13
2x + (12 + 4x) = -5 + 4x + -13

Reorder the terms:
12 + 2x + 4x = -5 + 4x + -13

Combine like terms: 2x + 4x = 6x
12 + 6x = -5 + 4x + -13

Reorder the terms:
12 + 6x = -5 + -13 + 4x

Combine like terms: -5 + -13 = -18
12 + 6x = -18 + 4x

Solving
12 + 6x = -18 + 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.
12 + 6x + -4x = -18 + 4x + -4x

Combine like terms: 6x + -4x = 2x
12 + 2x = -18 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 2x = -18 + 0
12 + 2x = -18

Add '-12' to each side of the equation.
12 + -12 + 2x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -18 + -12
2x = -18 + -12

Combine like terms: -18 + -12 = -30
2x = -30

Divide each side by '2'.
x = -15

Simplifying
x = -15

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