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

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


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

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

Reorder the terms:
-5 + 2x = 4(-7 + x) + 5
-5 + 2x = (-7 * 4 + x * 4) + 5
-5 + 2x = (-28 + 4x) + 5

Reorder the terms:
-5 + 2x = -28 + 5 + 4x

Combine like terms: -28 + 5 = -23
-5 + 2x = -23 + 4x

Solving
-5 + 2x = -23 + 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.
-5 + 2x + -4x = -23 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-5 + -2x = -23 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -2x = -23 + 0
-5 + -2x = -23

Add '5' to each side of the equation.
-5 + 5 + -2x = -23 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = -23 + 5
-2x = -23 + 5

Combine like terms: -23 + 5 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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