5(x+6)+2x-4=3x-4+2

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Solution for 5(x+6)+2x-4=3x-4+2 equation:


Simplifying
5(x + 6) + 2x + -4 = 3x + -4 + 2

Reorder the terms:
5(6 + x) + 2x + -4 = 3x + -4 + 2
(6 * 5 + x * 5) + 2x + -4 = 3x + -4 + 2
(30 + 5x) + 2x + -4 = 3x + -4 + 2

Reorder the terms:
30 + -4 + 5x + 2x = 3x + -4 + 2

Combine like terms: 30 + -4 = 26
26 + 5x + 2x = 3x + -4 + 2

Combine like terms: 5x + 2x = 7x
26 + 7x = 3x + -4 + 2

Reorder the terms:
26 + 7x = -4 + 2 + 3x

Combine like terms: -4 + 2 = -2
26 + 7x = -2 + 3x

Solving
26 + 7x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
26 + 7x + -3x = -2 + 3x + -3x

Combine like terms: 7x + -3x = 4x
26 + 4x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
26 + 4x = -2 + 0
26 + 4x = -2

Add '-26' to each side of the equation.
26 + -26 + 4x = -2 + -26

Combine like terms: 26 + -26 = 0
0 + 4x = -2 + -26
4x = -2 + -26

Combine like terms: -2 + -26 = -28
4x = -28

Divide each side by '4'.
x = -7

Simplifying
x = -7

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