0.16(6x+30)=4x+2(x-7)

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Solution for 0.16(6x+30)=4x+2(x-7) equation: 


Simplifying
0.16(6x + 30) = 4x + 2(x + -7)

Reorder the terms:
0.16(30 + 6x) = 4x + 2(x + -7)
(30 * 0.16 + 6x * 0.16) = 4x + 2(x + -7)
(4.8 + 0.96x) = 4x + 2(x + -7)

Reorder the terms:
4.8 + 0.96x = 4x + 2(-7 + x)
4.8 + 0.96x = 4x + (-7 * 2 + x * 2)
4.8 + 0.96x = 4x + (-14 + 2x)

Reorder the terms:
4.8 + 0.96x = -14 + 4x + 2x

Combine like terms: 4x + 2x = 6x
4.8 + 0.96x = -14 + 6x

Solving
4.8 + 0.96x = -14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4.8 + 0.96x + -6x = -14 + 6x + -6x

Combine like terms: 0.96x + -6x = -5.04x
4.8 + -5.04x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
4.8 + -5.04x = -14 + 0
4.8 + -5.04x = -14

Add '-4.8' to each side of the equation.
4.8 + -4.8 + -5.04x = -14 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + -5.04x = -14 + -4.8
-5.04x = -14 + -4.8

Combine like terms: -14 + -4.8 = -18.8
-5.04x = -18.8

Divide each side by '-5.04'.
x = 3.73015873

Simplifying
x = 3.73015873

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