4(2x+1)-15=3(4x-5)

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Solution for 4(2x+1)-15=3(4x-5) equation:


Simplifying
4(2x + 1) + -15 = 3(4x + -5)

Reorder the terms:
4(1 + 2x) + -15 = 3(4x + -5)
(1 * 4 + 2x * 4) + -15 = 3(4x + -5)
(4 + 8x) + -15 = 3(4x + -5)

Reorder the terms:
4 + -15 + 8x = 3(4x + -5)

Combine like terms: 4 + -15 = -11
-11 + 8x = 3(4x + -5)

Reorder the terms:
-11 + 8x = 3(-5 + 4x)
-11 + 8x = (-5 * 3 + 4x * 3)
-11 + 8x = (-15 + 12x)

Solving
-11 + 8x = -15 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-11 + 8x + -12x = -15 + 12x + -12x

Combine like terms: 8x + -12x = -4x
-11 + -4x = -15 + 12x + -12x

Combine like terms: 12x + -12x = 0
-11 + -4x = -15 + 0
-11 + -4x = -15

Add '11' to each side of the equation.
-11 + 11 + -4x = -15 + 11

Combine like terms: -11 + 11 = 0
0 + -4x = -15 + 11
-4x = -15 + 11

Combine like terms: -15 + 11 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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