4x+.05(8x+6)=2(4x+3)

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Solution for 4x+.05(8x+6)=2(4x+3) equation:


Simplifying
4x + 0.05(8x + 6) = 2(4x + 3)

Reorder the terms:
4x + 0.05(6 + 8x) = 2(4x + 3)
4x + (6 * 0.05 + 8x * 0.05) = 2(4x + 3)
4x + (0.3 + 0.4x) = 2(4x + 3)

Reorder the terms:
0.3 + 4x + 0.4x = 2(4x + 3)

Combine like terms: 4x + 0.4x = 4.4x
0.3 + 4.4x = 2(4x + 3)

Reorder the terms:
0.3 + 4.4x = 2(3 + 4x)
0.3 + 4.4x = (3 * 2 + 4x * 2)
0.3 + 4.4x = (6 + 8x)

Solving
0.3 + 4.4x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
0.3 + 4.4x + -8x = 6 + 8x + -8x

Combine like terms: 4.4x + -8x = -3.6x
0.3 + -3.6x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
0.3 + -3.6x = 6 + 0
0.3 + -3.6x = 6

Add '-0.3' to each side of the equation.
0.3 + -0.3 + -3.6x = 6 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -3.6x = 6 + -0.3
-3.6x = 6 + -0.3

Combine like terms: 6 + -0.3 = 5.7
-3.6x = 5.7

Divide each side by '-3.6'.
x = -1.583333333

Simplifying
x = -1.583333333

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