.16(x+2)=2x-2(4-x)-7

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Solution for .16(x+2)=2x-2(4-x)-7 equation:


Simplifying
0.16(x + 2) = 2x + -2(4 + -1x) + -7

Reorder the terms:
0.16(2 + x) = 2x + -2(4 + -1x) + -7
(2 * 0.16 + x * 0.16) = 2x + -2(4 + -1x) + -7
(0.32 + 0.16x) = 2x + -2(4 + -1x) + -7
0.32 + 0.16x = 2x + (4 * -2 + -1x * -2) + -7
0.32 + 0.16x = 2x + (-8 + 2x) + -7

Reorder the terms:
0.32 + 0.16x = -8 + -7 + 2x + 2x

Combine like terms: -8 + -7 = -15
0.32 + 0.16x = -15 + 2x + 2x

Combine like terms: 2x + 2x = 4x
0.32 + 0.16x = -15 + 4x

Solving
0.32 + 0.16x = -15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
0.32 + 0.16x + -4x = -15 + 4x + -4x

Combine like terms: 0.16x + -4x = -3.84x
0.32 + -3.84x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
0.32 + -3.84x = -15 + 0
0.32 + -3.84x = -15

Add '-0.32' to each side of the equation.
0.32 + -0.32 + -3.84x = -15 + -0.32

Combine like terms: 0.32 + -0.32 = 0.00
0.00 + -3.84x = -15 + -0.32
-3.84x = -15 + -0.32

Combine like terms: -15 + -0.32 = -15.32
-3.84x = -15.32

Divide each side by '-3.84'.
x = 3.989583333

Simplifying
x = 3.989583333

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