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

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


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

Reorder the terms:
2x + -1(3 + 7x) = 2x + -45
2x + (3 * -1 + 7x * -1) = 2x + -45
2x + (-3 + -7x) = 2x + -45

Reorder the terms:
-3 + 2x + -7x = 2x + -45

Combine like terms: 2x + -7x = -5x
-3 + -5x = 2x + -45

Reorder the terms:
-3 + -5x = -45 + 2x

Solving
-3 + -5x = -45 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + -5x + -2x = -45 + 2x + -2x

Combine like terms: -5x + -2x = -7x
-3 + -7x = -45 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + -7x = -45 + 0
-3 + -7x = -45

Add '3' to each side of the equation.
-3 + 3 + -7x = -45 + 3

Combine like terms: -3 + 3 = 0
0 + -7x = -45 + 3
-7x = -45 + 3

Combine like terms: -45 + 3 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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