2(x+5)=(-4)(4x-5)+3x

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Solution for 2(x+5)=(-4)(4x-5)+3x equation:


Simplifying
2(x + 5) = (-4)(4x + -5) + 3x

Reorder the terms:
2(5 + x) = (-4)(4x + -5) + 3x
(5 * 2 + x * 2) = (-4)(4x + -5) + 3x
(10 + 2x) = (-4)(4x + -5) + 3x

Reorder the terms:
10 + 2x = -4(-5 + 4x) + 3x
10 + 2x = (-5 * -4 + 4x * -4) + 3x
10 + 2x = (20 + -16x) + 3x

Combine like terms: -16x + 3x = -13x
10 + 2x = 20 + -13x

Solving
10 + 2x = 20 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
10 + 2x + 13x = 20 + -13x + 13x

Combine like terms: 2x + 13x = 15x
10 + 15x = 20 + -13x + 13x

Combine like terms: -13x + 13x = 0
10 + 15x = 20 + 0
10 + 15x = 20

Add '-10' to each side of the equation.
10 + -10 + 15x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 15x = 20 + -10
15x = 20 + -10

Combine like terms: 20 + -10 = 10
15x = 10

Divide each side by '15'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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