(2x-5)-7=4(x-9)

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Solution for (2x-5)-7=4(x-9) equation:


Simplifying
(2x + -5) + -7 = 4(x + -9)

Reorder the terms:
(-5 + 2x) + -7 = 4(x + -9)

Remove parenthesis around (-5 + 2x)
-5 + 2x + -7 = 4(x + -9)

Reorder the terms:
-5 + -7 + 2x = 4(x + -9)

Combine like terms: -5 + -7 = -12
-12 + 2x = 4(x + -9)

Reorder the terms:
-12 + 2x = 4(-9 + x)
-12 + 2x = (-9 * 4 + x * 4)
-12 + 2x = (-36 + 4x)

Solving
-12 + 2x = -36 + 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.
-12 + 2x + -4x = -36 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-12 + -2x = -36 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + -2x = -36 + 0
-12 + -2x = -36

Add '12' to each side of the equation.
-12 + 12 + -2x = -36 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = -36 + 12
-2x = -36 + 12

Combine like terms: -36 + 12 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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