.07(0.9x+3)-0.8(1.6x-0.7)=x

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Solution for .07(0.9x+3)-0.8(1.6x-0.7)=x equation:


Simplifying
0.07(0.9x + 3) + -0.8(1.6x + -0.7) = x

Reorder the terms:
0.07(3 + 0.9x) + -0.8(1.6x + -0.7) = x
(3 * 0.07 + 0.9x * 0.07) + -0.8(1.6x + -0.7) = x
(0.21 + 0.063x) + -0.8(1.6x + -0.7) = x

Reorder the terms:
0.21 + 0.063x + -0.8(-0.7 + 1.6x) = x
0.21 + 0.063x + (-0.7 * -0.8 + 1.6x * -0.8) = x
0.21 + 0.063x + (0.56 + -1.28x) = x

Reorder the terms:
0.21 + 0.56 + 0.063x + -1.28x = x

Combine like terms: 0.21 + 0.56 = 0.77
0.77 + 0.063x + -1.28x = x

Combine like terms: 0.063x + -1.28x = -1.217x
0.77 + -1.217x = x

Solving
0.77 + -1.217x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
0.77 + -1.217x + -1x = x + -1x

Combine like terms: -1.217x + -1x = -2.217x
0.77 + -2.217x = x + -1x

Combine like terms: x + -1x = 0
0.77 + -2.217x = 0

Add '-0.77' to each side of the equation.
0.77 + -0.77 + -2.217x = 0 + -0.77

Combine like terms: 0.77 + -0.77 = 0.00
0.00 + -2.217x = 0 + -0.77
-2.217x = 0 + -0.77

Combine like terms: 0 + -0.77 = -0.77
-2.217x = -0.77

Divide each side by '-2.217'.
x = 0.3473161931

Simplifying
x = 0.3473161931

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