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

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


Simplifying
2(3x + -7) + -5 = 3 + -1(4x + -5)

Reorder the terms:
2(-7 + 3x) + -5 = 3 + -1(4x + -5)
(-7 * 2 + 3x * 2) + -5 = 3 + -1(4x + -5)
(-14 + 6x) + -5 = 3 + -1(4x + -5)

Reorder the terms:
-14 + -5 + 6x = 3 + -1(4x + -5)

Combine like terms: -14 + -5 = -19
-19 + 6x = 3 + -1(4x + -5)

Reorder the terms:
-19 + 6x = 3 + -1(-5 + 4x)
-19 + 6x = 3 + (-5 * -1 + 4x * -1)
-19 + 6x = 3 + (5 + -4x)

Combine like terms: 3 + 5 = 8
-19 + 6x = 8 + -4x

Solving
-19 + 6x = 8 + -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.
-19 + 6x + 4x = 8 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-19 + 10x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
-19 + 10x = 8 + 0
-19 + 10x = 8

Add '19' to each side of the equation.
-19 + 19 + 10x = 8 + 19

Combine like terms: -19 + 19 = 0
0 + 10x = 8 + 19
10x = 8 + 19

Combine like terms: 8 + 19 = 27
10x = 27

Divide each side by '10'.
x = 2.7

Simplifying
x = 2.7

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