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

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


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

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

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

Combine like terms: 7 + 10 = 17
5 + 4x = 17 + -2x

Solving
5 + 4x = 17 + -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.
5 + 4x + 2x = 17 + -2x + 2x

Combine like terms: 4x + 2x = 6x
5 + 6x = 17 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + 6x = 17 + 0
5 + 6x = 17

Add '-5' to each side of the equation.
5 + -5 + 6x = 17 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 17 + -5
6x = 17 + -5

Combine like terms: 17 + -5 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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