4(2x-5)+15=2x+1

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Solution for 4(2x-5)+15=2x+1 equation:


Simplifying
4(2x + -5) + 15 = 2x + 1

Reorder the terms:
4(-5 + 2x) + 15 = 2x + 1
(-5 * 4 + 2x * 4) + 15 = 2x + 1
(-20 + 8x) + 15 = 2x + 1

Reorder the terms:
-20 + 15 + 8x = 2x + 1

Combine like terms: -20 + 15 = -5
-5 + 8x = 2x + 1

Reorder the terms:
-5 + 8x = 1 + 2x

Solving
-5 + 8x = 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.
-5 + 8x + -2x = 1 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-5 + 6x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 6x = 1 + 0
-5 + 6x = 1

Add '5' to each side of the equation.
-5 + 5 + 6x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 1 + 5
6x = 1 + 5

Combine like terms: 1 + 5 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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