.57(2.6x+5)=-2(.14-.17x)

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Solution for .57(2.6x+5)=-2(.14-.17x) equation: 


Simplifying
0.57(2.6x + 5) = -2(0.14 + -0.17x)

Reorder the terms:
0.57(5 + 2.6x) = -2(0.14 + -0.17x)
(5 * 0.57 + 2.6x * 0.57) = -2(0.14 + -0.17x)
(2.85 + 1.482x) = -2(0.14 + -0.17x)
2.85 + 1.482x = (0.14 * -2 + -0.17x * -2)
2.85 + 1.482x = (-0.28 + 0.34x)

Solving
2.85 + 1.482x = -0.28 + 0.34x

Solving for variable 'x'.

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

Add '-0.34x' to each side of the equation.
2.85 + 1.482x + -0.34x = -0.28 + 0.34x + -0.34x

Combine like terms: 1.482x + -0.34x = 1.142x
2.85 + 1.142x = -0.28 + 0.34x + -0.34x

Combine like terms: 0.34x + -0.34x = 0.00
2.85 + 1.142x = -0.28 + 0.00
2.85 + 1.142x = -0.28

Add '-2.85' to each side of the equation.
2.85 + -2.85 + 1.142x = -0.28 + -2.85

Combine like terms: 2.85 + -2.85 = 0.00
0.00 + 1.142x = -0.28 + -2.85
1.142x = -0.28 + -2.85

Combine like terms: -0.28 + -2.85 = -3.13
1.142x = -3.13

Divide each side by '1.142'.
x = -2.740805604

Simplifying
x = -2.740805604

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