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

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


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

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

Combine like terms: -10x + 3x = -7x
2 + -7x = -2x + -1(2x + -14)

Reorder the terms:
2 + -7x = -2x + -1(-14 + 2x)
2 + -7x = -2x + (-14 * -1 + 2x * -1)
2 + -7x = -2x + (14 + -2x)

Reorder the terms:
2 + -7x = 14 + -2x + -2x

Combine like terms: -2x + -2x = -4x
2 + -7x = 14 + -4x

Solving
2 + -7x = 14 + -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.
2 + -7x + 4x = 14 + -4x + 4x

Combine like terms: -7x + 4x = -3x
2 + -3x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + -3x = 14 + 0
2 + -3x = 14

Add '-2' to each side of the equation.
2 + -2 + -3x = 14 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 14 + -2
-3x = 14 + -2

Combine like terms: 14 + -2 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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