4(3x+2)+49=6x+13

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Solution for 4(3x+2)+49=6x+13 equation:


Simplifying
4(3x + 2) + 49 = 6x + 13

Reorder the terms:
4(2 + 3x) + 49 = 6x + 13
(2 * 4 + 3x * 4) + 49 = 6x + 13
(8 + 12x) + 49 = 6x + 13

Reorder the terms:
8 + 49 + 12x = 6x + 13

Combine like terms: 8 + 49 = 57
57 + 12x = 6x + 13

Reorder the terms:
57 + 12x = 13 + 6x

Solving
57 + 12x = 13 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
57 + 12x + -6x = 13 + 6x + -6x

Combine like terms: 12x + -6x = 6x
57 + 6x = 13 + 6x + -6x

Combine like terms: 6x + -6x = 0
57 + 6x = 13 + 0
57 + 6x = 13

Add '-57' to each side of the equation.
57 + -57 + 6x = 13 + -57

Combine like terms: 57 + -57 = 0
0 + 6x = 13 + -57
6x = 13 + -57

Combine like terms: 13 + -57 = -44
6x = -44

Divide each side by '6'.
x = -7.333333333

Simplifying
x = -7.333333333

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