3.53(x-6.8)-4.2x=3.9x-1.154

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Solution for 3.53(x-6.8)-4.2x=3.9x-1.154 equation:


Simplifying
3.53(x + -6.8) + -4.2x = 3.9x + -1.154

Reorder the terms:
3.53(-6.8 + x) + -4.2x = 3.9x + -1.154
(-6.8 * 3.53 + x * 3.53) + -4.2x = 3.9x + -1.154
(-24.004 + 3.53x) + -4.2x = 3.9x + -1.154

Combine like terms: 3.53x + -4.2x = -0.67x
-24.004 + -0.67x = 3.9x + -1.154

Reorder the terms:
-24.004 + -0.67x = -1.154 + 3.9x

Solving
-24.004 + -0.67x = -1.154 + 3.9x

Solving for variable 'x'.

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

Add '-3.9x' to each side of the equation.
-24.004 + -0.67x + -3.9x = -1.154 + 3.9x + -3.9x

Combine like terms: -0.67x + -3.9x = -4.57x
-24.004 + -4.57x = -1.154 + 3.9x + -3.9x

Combine like terms: 3.9x + -3.9x = 0.0
-24.004 + -4.57x = -1.154 + 0.0
-24.004 + -4.57x = -1.154

Add '24.004' to each side of the equation.
-24.004 + 24.004 + -4.57x = -1.154 + 24.004

Combine like terms: -24.004 + 24.004 = 0.000
0.000 + -4.57x = -1.154 + 24.004
-4.57x = -1.154 + 24.004

Combine like terms: -1.154 + 24.004 = 22.85
-4.57x = 22.85

Divide each side by '-4.57'.
x = -5

Simplifying
x = -5

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