6x-3=-4(2x+5)+45

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Solution for 6x-3=-4(2x+5)+45 equation:


Simplifying
6x + -3 = -4(2x + 5) + 45

Reorder the terms:
-3 + 6x = -4(2x + 5) + 45

Reorder the terms:
-3 + 6x = -4(5 + 2x) + 45
-3 + 6x = (5 * -4 + 2x * -4) + 45
-3 + 6x = (-20 + -8x) + 45

Reorder the terms:
-3 + 6x = -20 + 45 + -8x

Combine like terms: -20 + 45 = 25
-3 + 6x = 25 + -8x

Solving
-3 + 6x = 25 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-3 + 6x + 8x = 25 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-3 + 14x = 25 + -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + 14x = 25 + 0
-3 + 14x = 25

Add '3' to each side of the equation.
-3 + 3 + 14x = 25 + 3

Combine like terms: -3 + 3 = 0
0 + 14x = 25 + 3
14x = 25 + 3

Combine like terms: 25 + 3 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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