5+5(x-7)=3-2(x-8)

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Solution for 5+5(x-7)=3-2(x-8) equation:


Simplifying
5 + 5(x + -7) = 3 + -2(x + -8)

Reorder the terms:
5 + 5(-7 + x) = 3 + -2(x + -8)
5 + (-7 * 5 + x * 5) = 3 + -2(x + -8)
5 + (-35 + 5x) = 3 + -2(x + -8)

Combine like terms: 5 + -35 = -30
-30 + 5x = 3 + -2(x + -8)

Reorder the terms:
-30 + 5x = 3 + -2(-8 + x)
-30 + 5x = 3 + (-8 * -2 + x * -2)
-30 + 5x = 3 + (16 + -2x)

Combine like terms: 3 + 16 = 19
-30 + 5x = 19 + -2x

Solving
-30 + 5x = 19 + -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.
-30 + 5x + 2x = 19 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-30 + 7x = 19 + -2x + 2x

Combine like terms: -2x + 2x = 0
-30 + 7x = 19 + 0
-30 + 7x = 19

Add '30' to each side of the equation.
-30 + 30 + 7x = 19 + 30

Combine like terms: -30 + 30 = 0
0 + 7x = 19 + 30
7x = 19 + 30

Combine like terms: 19 + 30 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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