3.7-3(-4+3x)=11.9-5.8x

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Solution for 3.7-3(-4+3x)=11.9-5.8x equation:


Simplifying
3.7 + -3(-4 + 3x) = 11.9 + -5.8x
3.7 + (-4 * -3 + 3x * -3) = 11.9 + -5.8x
3.7 + (12 + -9x) = 11.9 + -5.8x

Combine like terms: 3.7 + 12 = 15.7
15.7 + -9x = 11.9 + -5.8x

Solving
15.7 + -9x = 11.9 + -5.8x

Solving for variable 'x'.

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

Add '5.8x' to each side of the equation.
15.7 + -9x + 5.8x = 11.9 + -5.8x + 5.8x

Combine like terms: -9x + 5.8x = -3.2x
15.7 + -3.2x = 11.9 + -5.8x + 5.8x

Combine like terms: -5.8x + 5.8x = 0.0
15.7 + -3.2x = 11.9 + 0.0
15.7 + -3.2x = 11.9

Add '-15.7' to each side of the equation.
15.7 + -15.7 + -3.2x = 11.9 + -15.7

Combine like terms: 15.7 + -15.7 = 0.0
0.0 + -3.2x = 11.9 + -15.7
-3.2x = 11.9 + -15.7

Combine like terms: 11.9 + -15.7 = -3.8
-3.2x = -3.8

Divide each side by '-3.2'.
x = 1.1875

Simplifying
x = 1.1875

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