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

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


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

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

Reorder the terms:
8 + 3x + 4x = 4x + -5

Combine like terms: 3x + 4x = 7x
8 + 7x = 4x + -5

Reorder the terms:
8 + 7x = -5 + 4x

Solving
8 + 7x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + 7x + -4x = -5 + 4x + -4x

Combine like terms: 7x + -4x = 3x
8 + 3x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 3x = -5 + 0
8 + 3x = -5

Add '-8' to each side of the equation.
8 + -8 + 3x = -5 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = -5 + -8
3x = -5 + -8

Combine like terms: -5 + -8 = -13
3x = -13

Divide each side by '3'.
x = -4.333333333

Simplifying
x = -4.333333333

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