3(x+5)-7(1+8x)=-45

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Solution for 3(x+5)-7(1+8x)=-45 equation: 


Simplifying
3(x + 5) + -7(1 + 8x) = -45

Reorder the terms:
3(5 + x) + -7(1 + 8x) = -45
(5 * 3 + x * 3) + -7(1 + 8x) = -45
(15 + 3x) + -7(1 + 8x) = -45
15 + 3x + (1 * -7 + 8x * -7) = -45
15 + 3x + (-7 + -56x) = -45

Reorder the terms:
15 + -7 + 3x + -56x = -45

Combine like terms: 15 + -7 = 8
8 + 3x + -56x = -45

Combine like terms: 3x + -56x = -53x
8 + -53x = -45

Solving
8 + -53x = -45

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -53x = -45 + -8

Combine like terms: 8 + -8 = 0
0 + -53x = -45 + -8
-53x = -45 + -8

Combine like terms: -45 + -8 = -53
-53x = -53

Divide each side by '-53'.
x = 1

Simplifying
x = 1

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