2(5x-8)-3(4x-5)=4(3x-4)+1

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Solution for 2(5x-8)-3(4x-5)=4(3x-4)+1 equation:


Simplifying
2(5x + -8) + -3(4x + -5) = 4(3x + -4) + 1

Reorder the terms:
2(-8 + 5x) + -3(4x + -5) = 4(3x + -4) + 1
(-8 * 2 + 5x * 2) + -3(4x + -5) = 4(3x + -4) + 1
(-16 + 10x) + -3(4x + -5) = 4(3x + -4) + 1

Reorder the terms:
-16 + 10x + -3(-5 + 4x) = 4(3x + -4) + 1
-16 + 10x + (-5 * -3 + 4x * -3) = 4(3x + -4) + 1
-16 + 10x + (15 + -12x) = 4(3x + -4) + 1

Reorder the terms:
-16 + 15 + 10x + -12x = 4(3x + -4) + 1

Combine like terms: -16 + 15 = -1
-1 + 10x + -12x = 4(3x + -4) + 1

Combine like terms: 10x + -12x = -2x
-1 + -2x = 4(3x + -4) + 1

Reorder the terms:
-1 + -2x = 4(-4 + 3x) + 1
-1 + -2x = (-4 * 4 + 3x * 4) + 1
-1 + -2x = (-16 + 12x) + 1

Reorder the terms:
-1 + -2x = -16 + 1 + 12x

Combine like terms: -16 + 1 = -15
-1 + -2x = -15 + 12x

Solving
-1 + -2x = -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 + -2x + -12x = -15 + 12x + -12x

Combine like terms: -2x + -12x = -14x
-1 + -14x = -15 + 12x + -12x

Combine like terms: 12x + -12x = 0
-1 + -14x = -15 + 0
-1 + -14x = -15

Add '1' to each side of the equation.
-1 + 1 + -14x = -15 + 1

Combine like terms: -1 + 1 = 0
0 + -14x = -15 + 1
-14x = -15 + 1

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

Divide each side by '-14'.
x = 1

Simplifying
x = 1

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