0.4(-4.6x+4.7)=1.6(2.2x+6.9)-4.5

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Solution for 0.4(-4.6x+4.7)=1.6(2.2x+6.9)-4.5 equation: 


Simplifying
0.4(-4.6x + 4.7) = 1.6(2.2x + 6.9) + -4.5

Reorder the terms:
0.4(4.7 + -4.6x) = 1.6(2.2x + 6.9) + -4.5
(4.7 * 0.4 + -4.6x * 0.4) = 1.6(2.2x + 6.9) + -4.5
(1.88 + -1.84x) = 1.6(2.2x + 6.9) + -4.5

Reorder the terms:
1.88 + -1.84x = 1.6(6.9 + 2.2x) + -4.5
1.88 + -1.84x = (6.9 * 1.6 + 2.2x * 1.6) + -4.5
1.88 + -1.84x = (11.04 + 3.52x) + -4.5

Reorder the terms:
1.88 + -1.84x = 11.04 + -4.5 + 3.52x

Combine like terms: 11.04 + -4.5 = 6.54
1.88 + -1.84x = 6.54 + 3.52x

Solving
1.88 + -1.84x = 6.54 + 3.52x

Solving for variable 'x'.

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

Add '-3.52x' to each side of the equation.
1.88 + -1.84x + -3.52x = 6.54 + 3.52x + -3.52x

Combine like terms: -1.84x + -3.52x = -5.36x
1.88 + -5.36x = 6.54 + 3.52x + -3.52x

Combine like terms: 3.52x + -3.52x = 0.00
1.88 + -5.36x = 6.54 + 0.00
1.88 + -5.36x = 6.54

Add '-1.88' to each side of the equation.
1.88 + -1.88 + -5.36x = 6.54 + -1.88

Combine like terms: 1.88 + -1.88 = 0.00
0.00 + -5.36x = 6.54 + -1.88
-5.36x = 6.54 + -1.88

Combine like terms: 6.54 + -1.88 = 4.66
-5.36x = 4.66

Divide each side by '-5.36'.
x = -0.8694029851

Simplifying
x = -0.8694029851

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