2x+4(3-x)-1.5(4+0.6x)=23.4

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Solution for 2x+4(3-x)-1.5(4+0.6x)=23.4 equation: 


Simplifying
2x + 4(3 + -1x) + -1.5(4 + 0.6x) = 23.4
2x + (3 * 4 + -1x * 4) + -1.5(4 + 0.6x) = 23.4
2x + (12 + -4x) + -1.5(4 + 0.6x) = 23.4
2x + 12 + -4x + (4 * -1.5 + 0.6x * -1.5) = 23.4
2x + 12 + -4x + (-6 + -0.9x) = 23.4

Reorder the terms:
12 + -6 + 2x + -4x + -0.9x = 23.4

Combine like terms: 12 + -6 = 6
6 + 2x + -4x + -0.9x = 23.4

Combine like terms: 2x + -4x = -2x
6 + -2x + -0.9x = 23.4

Combine like terms: -2x + -0.9x = -2.9x
6 + -2.9x = 23.4

Solving
6 + -2.9x = 23.4

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -2.9x = 23.4 + -6

Combine like terms: 6 + -6 = 0
0 + -2.9x = 23.4 + -6
-2.9x = 23.4 + -6

Combine like terms: 23.4 + -6 = 17.4
-2.9x = 17.4

Divide each side by '-2.9'.
x = -6

Simplifying
x = -6

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