2x+5-3(2x-7)=(3x-5)-4

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Solution for 2x+5-3(2x-7)=(3x-5)-4 equation:


Simplifying
2x + 5 + -3(2x + -7) = (3x + -5) + -4

Reorder the terms:
2x + 5 + -3(-7 + 2x) = (3x + -5) + -4
2x + 5 + (-7 * -3 + 2x * -3) = (3x + -5) + -4
2x + 5 + (21 + -6x) = (3x + -5) + -4

Reorder the terms:
5 + 21 + 2x + -6x = (3x + -5) + -4

Combine like terms: 5 + 21 = 26
26 + 2x + -6x = (3x + -5) + -4

Combine like terms: 2x + -6x = -4x
26 + -4x = (3x + -5) + -4

Reorder the terms:
26 + -4x = (-5 + 3x) + -4

Remove parenthesis around (-5 + 3x)
26 + -4x = -5 + 3x + -4

Reorder the terms:
26 + -4x = -5 + -4 + 3x

Combine like terms: -5 + -4 = -9
26 + -4x = -9 + 3x

Solving
26 + -4x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
26 + -4x + -3x = -9 + 3x + -3x

Combine like terms: -4x + -3x = -7x
26 + -7x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
26 + -7x = -9 + 0
26 + -7x = -9

Add '-26' to each side of the equation.
26 + -26 + -7x = -9 + -26

Combine like terms: 26 + -26 = 0
0 + -7x = -9 + -26
-7x = -9 + -26

Combine like terms: -9 + -26 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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