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

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


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

Reorder the terms:
7(-5 + x) = -3(x + 2)
(-5 * 7 + x * 7) = -3(x + 2)
(-35 + 7x) = -3(x + 2)

Reorder the terms:
-35 + 7x = -3(2 + x)
-35 + 7x = (2 * -3 + x * -3)
-35 + 7x = (-6 + -3x)

Solving
-35 + 7x = -6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-35 + 7x + 3x = -6 + -3x + 3x

Combine like terms: 7x + 3x = 10x
-35 + 10x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-35 + 10x = -6 + 0
-35 + 10x = -6

Add '35' to each side of the equation.
-35 + 35 + 10x = -6 + 35

Combine like terms: -35 + 35 = 0
0 + 10x = -6 + 35
10x = -6 + 35

Combine like terms: -6 + 35 = 29
10x = 29

Divide each side by '10'.
x = 2.9

Simplifying
x = 2.9

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