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

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


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

Reorder the terms:
2x + 5 + -3(-5 + 2x) = 2(3x + -5) + -4
2x + 5 + (-5 * -3 + 2x * -3) = 2(3x + -5) + -4
2x + 5 + (15 + -6x) = 2(3x + -5) + -4

Reorder the terms:
5 + 15 + 2x + -6x = 2(3x + -5) + -4

Combine like terms: 5 + 15 = 20
20 + 2x + -6x = 2(3x + -5) + -4

Combine like terms: 2x + -6x = -4x
20 + -4x = 2(3x + -5) + -4

Reorder the terms:
20 + -4x = 2(-5 + 3x) + -4
20 + -4x = (-5 * 2 + 3x * 2) + -4
20 + -4x = (-10 + 6x) + -4

Reorder the terms:
20 + -4x = -10 + -4 + 6x

Combine like terms: -10 + -4 = -14
20 + -4x = -14 + 6x

Solving
20 + -4x = -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.
20 + -4x + -6x = -14 + 6x + -6x

Combine like terms: -4x + -6x = -10x
20 + -10x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -10x = -14 + 0
20 + -10x = -14

Add '-20' to each side of the equation.
20 + -20 + -10x = -14 + -20

Combine like terms: 20 + -20 = 0
0 + -10x = -14 + -20
-10x = -14 + -20

Combine like terms: -14 + -20 = -34
-10x = -34

Divide each side by '-10'.
x = 3.4

Simplifying
x = 3.4

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