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

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


Simplifying
2x + 4(x + 6) = 13x + 3

Reorder the terms:
2x + 4(6 + x) = 13x + 3
2x + (6 * 4 + x * 4) = 13x + 3
2x + (24 + 4x) = 13x + 3

Reorder the terms:
24 + 2x + 4x = 13x + 3

Combine like terms: 2x + 4x = 6x
24 + 6x = 13x + 3

Reorder the terms:
24 + 6x = 3 + 13x

Solving
24 + 6x = 3 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
24 + 6x + -13x = 3 + 13x + -13x

Combine like terms: 6x + -13x = -7x
24 + -7x = 3 + 13x + -13x

Combine like terms: 13x + -13x = 0
24 + -7x = 3 + 0
24 + -7x = 3

Add '-24' to each side of the equation.
24 + -24 + -7x = 3 + -24

Combine like terms: 24 + -24 = 0
0 + -7x = 3 + -24
-7x = 3 + -24

Combine like terms: 3 + -24 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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