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

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


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

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

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

Reorder the terms:
2 + 2x = 2(-5 + 3x) + -4
2 + 2x = (-5 * 2 + 3x * 2) + -4
2 + 2x = (-10 + 6x) + -4

Reorder the terms:
2 + 2x = -10 + -4 + 6x

Combine like terms: -10 + -4 = -14
2 + 2x = -14 + 6x

Solving
2 + 2x = -14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + 2x + -6x = -14 + 6x + -6x

Combine like terms: 2x + -6x = -4x
2 + -4x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -4x = -14 + 0
2 + -4x = -14

Add '-2' to each side of the equation.
2 + -2 + -4x = -14 + -2

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

Combine like terms: -14 + -2 = -16
-4x = -16

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

Simplifying
x = 4

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