6(4x+4)+2=7x-36

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Solution for 6(4x+4)+2=7x-36 equation:


Simplifying
6(4x + 4) + 2 = 7x + -36

Reorder the terms:
6(4 + 4x) + 2 = 7x + -36
(4 * 6 + 4x * 6) + 2 = 7x + -36
(24 + 24x) + 2 = 7x + -36

Reorder the terms:
24 + 2 + 24x = 7x + -36

Combine like terms: 24 + 2 = 26
26 + 24x = 7x + -36

Reorder the terms:
26 + 24x = -36 + 7x

Solving
26 + 24x = -36 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
26 + 24x + -7x = -36 + 7x + -7x

Combine like terms: 24x + -7x = 17x
26 + 17x = -36 + 7x + -7x

Combine like terms: 7x + -7x = 0
26 + 17x = -36 + 0
26 + 17x = -36

Add '-26' to each side of the equation.
26 + -26 + 17x = -36 + -26

Combine like terms: 26 + -26 = 0
0 + 17x = -36 + -26
17x = -36 + -26

Combine like terms: -36 + -26 = -62
17x = -62

Divide each side by '17'.
x = -3.647058824

Simplifying
x = -3.647058824

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