5x+6.9-3x=3(x-4)-4

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Solution for 5x+6.9-3x=3(x-4)-4 equation: 


Simplifying
5x + 6.9 + -3x = 3(x + -4) + -4

Reorder the terms:
6.9 + 5x + -3x = 3(x + -4) + -4

Combine like terms: 5x + -3x = 2x
6.9 + 2x = 3(x + -4) + -4

Reorder the terms:
6.9 + 2x = 3(-4 + x) + -4
6.9 + 2x = (-4 * 3 + x * 3) + -4
6.9 + 2x = (-12 + 3x) + -4

Reorder the terms:
6.9 + 2x = -12 + -4 + 3x

Combine like terms: -12 + -4 = -16
6.9 + 2x = -16 + 3x

Solving
6.9 + 2x = -16 + 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.
6.9 + 2x + -3x = -16 + 3x + -3x

Combine like terms: 2x + -3x = -1x
6.9 + -1x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
6.9 + -1x = -16 + 0
6.9 + -1x = -16

Add '-6.9' to each side of the equation.
6.9 + -6.9 + -1x = -16 + -6.9

Combine like terms: 6.9 + -6.9 = 0.0
0.0 + -1x = -16 + -6.9
-1x = -16 + -6.9

Combine like terms: -16 + -6.9 = -22.9
-1x = -22.9

Divide each side by '-1'.
x = 22.9

Simplifying
x = 22.9

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