7x-(5-3x)=-2(x-5)

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Solution for 7x-(5-3x)=-2(x-5) equation:


Simplifying
7x + -1(5 + -3x) = -2(x + -5)
7x + (5 * -1 + -3x * -1) = -2(x + -5)
7x + (-5 + 3x) = -2(x + -5)

Reorder the terms:
-5 + 7x + 3x = -2(x + -5)

Combine like terms: 7x + 3x = 10x
-5 + 10x = -2(x + -5)

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

Solving
-5 + 10x = 10 + -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 + 10x + 2x = 10 + -2x + 2x

Combine like terms: 10x + 2x = 12x
-5 + 12x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 12x = 10 + 0
-5 + 12x = 10

Add '5' to each side of the equation.
-5 + 5 + 12x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 12x = 10 + 5
12x = 10 + 5

Combine like terms: 10 + 5 = 15
12x = 15

Divide each side by '12'.
x = 1.25

Simplifying
x = 1.25

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