4(x-1)-5(3-x)=14x-2(5x-3)

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Solution for 4(x-1)-5(3-x)=14x-2(5x-3) equation:


Simplifying
4(x + -1) + -5(3 + -1x) = 14x + -2(5x + -3)

Reorder the terms:
4(-1 + x) + -5(3 + -1x) = 14x + -2(5x + -3)
(-1 * 4 + x * 4) + -5(3 + -1x) = 14x + -2(5x + -3)
(-4 + 4x) + -5(3 + -1x) = 14x + -2(5x + -3)
-4 + 4x + (3 * -5 + -1x * -5) = 14x + -2(5x + -3)
-4 + 4x + (-15 + 5x) = 14x + -2(5x + -3)

Reorder the terms:
-4 + -15 + 4x + 5x = 14x + -2(5x + -3)

Combine like terms: -4 + -15 = -19
-19 + 4x + 5x = 14x + -2(5x + -3)

Combine like terms: 4x + 5x = 9x
-19 + 9x = 14x + -2(5x + -3)

Reorder the terms:
-19 + 9x = 14x + -2(-3 + 5x)
-19 + 9x = 14x + (-3 * -2 + 5x * -2)
-19 + 9x = 14x + (6 + -10x)

Reorder the terms:
-19 + 9x = 6 + 14x + -10x

Combine like terms: 14x + -10x = 4x
-19 + 9x = 6 + 4x

Solving
-19 + 9x = 6 + 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.
-19 + 9x + -4x = 6 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-19 + 5x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-19 + 5x = 6 + 0
-19 + 5x = 6

Add '19' to each side of the equation.
-19 + 19 + 5x = 6 + 19

Combine like terms: -19 + 19 = 0
0 + 5x = 6 + 19
5x = 6 + 19

Combine like terms: 6 + 19 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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