5(x-2)-2(3x-7)=-45

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Solution for 5(x-2)-2(3x-7)=-45 equation:


Simplifying
5(x + -2) + -2(3x + -7) = -45

Reorder the terms:
5(-2 + x) + -2(3x + -7) = -45
(-2 * 5 + x * 5) + -2(3x + -7) = -45
(-10 + 5x) + -2(3x + -7) = -45

Reorder the terms:
-10 + 5x + -2(-7 + 3x) = -45
-10 + 5x + (-7 * -2 + 3x * -2) = -45
-10 + 5x + (14 + -6x) = -45

Reorder the terms:
-10 + 14 + 5x + -6x = -45

Combine like terms: -10 + 14 = 4
4 + 5x + -6x = -45

Combine like terms: 5x + -6x = -1x
4 + -1x = -45

Solving
4 + -1x = -45

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -1x = -45 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -45 + -4
-1x = -45 + -4

Combine like terms: -45 + -4 = -49
-1x = -49

Divide each side by '-1'.
x = 49

Simplifying
x = 49

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