4(x+4)=-(2x-5)+10

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Solution for 4(x+4)=-(2x-5)+10 equation: 


Simplifying
4(x + 4) = -1(2x + -5) + 10

Reorder the terms:
4(4 + x) = -1(2x + -5) + 10
(4 * 4 + x * 4) = -1(2x + -5) + 10
(16 + 4x) = -1(2x + -5) + 10

Reorder the terms:
16 + 4x = -1(-5 + 2x) + 10
16 + 4x = (-5 * -1 + 2x * -1) + 10
16 + 4x = (5 + -2x) + 10

Reorder the terms:
16 + 4x = 5 + 10 + -2x

Combine like terms: 5 + 10 = 15
16 + 4x = 15 + -2x

Solving
16 + 4x = 15 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
16 + 4x + 2x = 15 + -2x + 2x

Combine like terms: 4x + 2x = 6x
16 + 6x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
16 + 6x = 15 + 0
16 + 6x = 15

Add '-16' to each side of the equation.
16 + -16 + 6x = 15 + -16

Combine like terms: 16 + -16 = 0
0 + 6x = 15 + -16
6x = 15 + -16

Combine like terms: 15 + -16 = -1
6x = -1

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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