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 = -11
-11 + 4x + 5x = 14x + -2(5x + -3)

Combine like terms: 4x + 5x = 9x
-11 + 9x = 14x + -2(5x + -3)

Reorder the terms:
-11 + 9x = 14x + -2(-3 + 5x)
-11 + 9x = 14x + (-3 * -2 + 5x * -2)
-11 + 9x = 14x + (6 + -10x)

Reorder the terms:
-11 + 9x = 6 + 14x + -10x

Combine like terms: 14x + -10x = 4x
-11 + 9x = 6 + 4x

Solving
-11 + 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.
-11 + 9x + -4x = 6 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-11 + 5x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-11 + 5x = 6 + 0
-11 + 5x = 6

Add '11' to each side of the equation.
-11 + 11 + 5x = 6 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = 6 + 11
5x = 6 + 11

Combine like terms: 6 + 11 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4

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