5(x+2)-8=4(x+12)-1

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Solution for 5(x+2)-8=4(x+12)-1 equation: 


Simplifying
5(x + 2) + -8 = 4(x + 12) + -1

Reorder the terms:
5(2 + x) + -8 = 4(x + 12) + -1
(2 * 5 + x * 5) + -8 = 4(x + 12) + -1
(10 + 5x) + -8 = 4(x + 12) + -1

Reorder the terms:
10 + -8 + 5x = 4(x + 12) + -1

Combine like terms: 10 + -8 = 2
2 + 5x = 4(x + 12) + -1

Reorder the terms:
2 + 5x = 4(12 + x) + -1
2 + 5x = (12 * 4 + x * 4) + -1
2 + 5x = (48 + 4x) + -1

Reorder the terms:
2 + 5x = 48 + -1 + 4x

Combine like terms: 48 + -1 = 47
2 + 5x = 47 + 4x

Solving
2 + 5x = 47 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 5x + -4x = 47 + 4x + -4x

Combine like terms: 5x + -4x = 1x
2 + 1x = 47 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 1x = 47 + 0
2 + 1x = 47

Add '-2' to each side of the equation.
2 + -2 + 1x = 47 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 47 + -2
1x = 47 + -2

Combine like terms: 47 + -2 = 45
1x = 45

Divide each side by '1'.
x = 45

Simplifying
x = 45

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