4(x-5)+5=2x-1

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Solution for 4(x-5)+5=2x-1 equation:


Simplifying
4(x + -5) + 5 = 2x + -1

Reorder the terms:
4(-5 + x) + 5 = 2x + -1
(-5 * 4 + x * 4) + 5 = 2x + -1
(-20 + 4x) + 5 = 2x + -1

Reorder the terms:
-20 + 5 + 4x = 2x + -1

Combine like terms: -20 + 5 = -15
-15 + 4x = 2x + -1

Reorder the terms:
-15 + 4x = -1 + 2x

Solving
-15 + 4x = -1 + 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.
-15 + 4x + -2x = -1 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-15 + 2x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 2x = -1 + 0
-15 + 2x = -1

Add '15' to each side of the equation.
-15 + 15 + 2x = -1 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = -1 + 15
2x = -1 + 15

Combine like terms: -1 + 15 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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