2(x+5)=7-4x

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Solution for 2(x+5)=7-4x equation:


Simplifying
2(x + 5) = 7 + -4x

Reorder the terms:
2(5 + x) = 7 + -4x
(5 * 2 + x * 2) = 7 + -4x
(10 + 2x) = 7 + -4x

Solving
10 + 2x = 7 + -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.
10 + 2x + 4x = 7 + -4x + 4x

Combine like terms: 2x + 4x = 6x
10 + 6x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 6x = 7 + 0
10 + 6x = 7

Add '-10' to each side of the equation.
10 + -10 + 6x = 7 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 7 + -10
6x = 7 + -10

Combine like terms: 7 + -10 = -3
6x = -3

Divide each side by '6'.
x = -0.5

Simplifying
x = -0.5

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