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

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


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

Reorder the terms:
7 + 3(-3 + x) = 5 + -7(x + -8)
7 + (-3 * 3 + x * 3) = 5 + -7(x + -8)
7 + (-9 + 3x) = 5 + -7(x + -8)

Combine like terms: 7 + -9 = -2
-2 + 3x = 5 + -7(x + -8)

Reorder the terms:
-2 + 3x = 5 + -7(-8 + x)
-2 + 3x = 5 + (-8 * -7 + x * -7)
-2 + 3x = 5 + (56 + -7x)

Combine like terms: 5 + 56 = 61
-2 + 3x = 61 + -7x

Solving
-2 + 3x = 61 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-2 + 3x + 7x = 61 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-2 + 10x = 61 + -7x + 7x

Combine like terms: -7x + 7x = 0
-2 + 10x = 61 + 0
-2 + 10x = 61

Add '2' to each side of the equation.
-2 + 2 + 10x = 61 + 2

Combine like terms: -2 + 2 = 0
0 + 10x = 61 + 2
10x = 61 + 2

Combine like terms: 61 + 2 = 63
10x = 63

Divide each side by '10'.
x = 6.3

Simplifying
x = 6.3

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