8(x-(3))=7(x+2)+45

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Solution for 8(x-(3))=7(x+2)+45 equation:


Simplifying
8(x + -1(3)) = 7(x + 2) + 45

Multiply -1 * 3
8(x + -3) = 7(x + 2) + 45

Reorder the terms:
8(-3 + x) = 7(x + 2) + 45
(-3 * 8 + x * 8) = 7(x + 2) + 45
(-24 + 8x) = 7(x + 2) + 45

Reorder the terms:
-24 + 8x = 7(2 + x) + 45
-24 + 8x = (2 * 7 + x * 7) + 45
-24 + 8x = (14 + 7x) + 45

Reorder the terms:
-24 + 8x = 14 + 45 + 7x

Combine like terms: 14 + 45 = 59
-24 + 8x = 59 + 7x

Solving
-24 + 8x = 59 + 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.
-24 + 8x + -7x = 59 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-24 + 1x = 59 + 7x + -7x

Combine like terms: 7x + -7x = 0
-24 + 1x = 59 + 0
-24 + 1x = 59

Add '24' to each side of the equation.
-24 + 24 + 1x = 59 + 24

Combine like terms: -24 + 24 = 0
0 + 1x = 59 + 24
1x = 59 + 24

Combine like terms: 59 + 24 = 83
1x = 83

Divide each side by '1'.
x = 83

Simplifying
x = 83

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