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

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


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

Reorder the terms:
3 + -5(-1 + 2x) = 4(x + 2) + 14
3 + (-1 * -5 + 2x * -5) = 4(x + 2) + 14
3 + (5 + -10x) = 4(x + 2) + 14

Combine like terms: 3 + 5 = 8
8 + -10x = 4(x + 2) + 14

Reorder the terms:
8 + -10x = 4(2 + x) + 14
8 + -10x = (2 * 4 + x * 4) + 14
8 + -10x = (8 + 4x) + 14

Reorder the terms:
8 + -10x = 8 + 14 + 4x

Combine like terms: 8 + 14 = 22
8 + -10x = 22 + 4x

Solving
8 + -10x = 22 + 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.
8 + -10x + -4x = 22 + 4x + -4x

Combine like terms: -10x + -4x = -14x
8 + -14x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -14x = 22 + 0
8 + -14x = 22

Add '-8' to each side of the equation.
8 + -8 + -14x = 22 + -8

Combine like terms: 8 + -8 = 0
0 + -14x = 22 + -8
-14x = 22 + -8

Combine like terms: 22 + -8 = 14
-14x = 14

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

Simplifying
x = -1

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