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

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


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

Reorder the terms:
4 + -5(1 + 2x) = -3(4x + -5)
4 + (1 * -5 + 2x * -5) = -3(4x + -5)
4 + (-5 + -10x) = -3(4x + -5)

Combine like terms: 4 + -5 = -1
-1 + -10x = -3(4x + -5)

Reorder the terms:
-1 + -10x = -3(-5 + 4x)
-1 + -10x = (-5 * -3 + 4x * -3)
-1 + -10x = (15 + -12x)

Solving
-1 + -10x = 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.
-1 + -10x + 12x = 15 + -12x + 12x

Combine like terms: -10x + 12x = 2x
-1 + 2x = 15 + -12x + 12x

Combine like terms: -12x + 12x = 0
-1 + 2x = 15 + 0
-1 + 2x = 15

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

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

Combine like terms: 15 + 1 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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