2x(4-6)-1=5x(4-3)

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Solution for 2x(4-6)-1=5x(4-3) equation:


Simplifying
2x(4 + -6) + -1 = 5x(4 + -3)

Combine like terms: 4 + -6 = -2
2x(-2) + -1 = 5x(4 + -3)

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

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

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

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

Reorder the terms for easier multiplication:
-1 + -4x = 5 * 1x

Multiply 5 * 1
-1 + -4x = 5x

Solving
-1 + -4x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-1 + -4x + -5x = 5x + -5x

Combine like terms: -4x + -5x = -9x
-1 + -9x = 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + -9x = 0

Add '1' to each side of the equation.
-1 + 1 + -9x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -9x = 0 + 1
-9x = 0 + 1

Combine like terms: 0 + 1 = 1
-9x = 1

Divide each side by '-9'.
x = -0.1111111111

Simplifying
x = -0.1111111111

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