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

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


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

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

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

Solving
-5 + 10x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-5 + 10x + 4x = 12 + -4x + 4x

Combine like terms: 10x + 4x = 14x
-5 + 14x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-5 + 14x = 12 + 0
-5 + 14x = 12

Add '5' to each side of the equation.
-5 + 5 + 14x = 12 + 5

Combine like terms: -5 + 5 = 0
0 + 14x = 12 + 5
14x = 12 + 5

Combine like terms: 12 + 5 = 17
14x = 17

Divide each side by '14'.
x = 1.214285714

Simplifying
x = 1.214285714

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