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

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


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

Reorder the terms:
2x + 4(2 + 3x) = 2x + -5
2x + (2 * 4 + 3x * 4) = 2x + -5
2x + (8 + 12x) = 2x + -5

Reorder the terms:
8 + 2x + 12x = 2x + -5

Combine like terms: 2x + 12x = 14x
8 + 14x = 2x + -5

Reorder the terms:
8 + 14x = -5 + 2x

Solving
8 + 14x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + 14x + -2x = -5 + 2x + -2x

Combine like terms: 14x + -2x = 12x
8 + 12x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 12x = -5 + 0
8 + 12x = -5

Add '-8' to each side of the equation.
8 + -8 + 12x = -5 + -8

Combine like terms: 8 + -8 = 0
0 + 12x = -5 + -8
12x = -5 + -8

Combine like terms: -5 + -8 = -13
12x = -13

Divide each side by '12'.
x = -1.083333333

Simplifying
x = -1.083333333

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