7(2x-3)-3(4x-5)=7(x+3)-2(3x-6)

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Solution for 7(2x-3)-3(4x-5)=7(x+3)-2(3x-6) equation:


Simplifying
7(2x + -3) + -3(4x + -5) = 7(x + 3) + -2(3x + -6)

Reorder the terms:
7(-3 + 2x) + -3(4x + -5) = 7(x + 3) + -2(3x + -6)
(-3 * 7 + 2x * 7) + -3(4x + -5) = 7(x + 3) + -2(3x + -6)
(-21 + 14x) + -3(4x + -5) = 7(x + 3) + -2(3x + -6)

Reorder the terms:
-21 + 14x + -3(-5 + 4x) = 7(x + 3) + -2(3x + -6)
-21 + 14x + (-5 * -3 + 4x * -3) = 7(x + 3) + -2(3x + -6)
-21 + 14x + (15 + -12x) = 7(x + 3) + -2(3x + -6)

Reorder the terms:
-21 + 15 + 14x + -12x = 7(x + 3) + -2(3x + -6)

Combine like terms: -21 + 15 = -6
-6 + 14x + -12x = 7(x + 3) + -2(3x + -6)

Combine like terms: 14x + -12x = 2x
-6 + 2x = 7(x + 3) + -2(3x + -6)

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

Reorder the terms:
-6 + 2x = 21 + 7x + -2(-6 + 3x)
-6 + 2x = 21 + 7x + (-6 * -2 + 3x * -2)
-6 + 2x = 21 + 7x + (12 + -6x)

Reorder the terms:
-6 + 2x = 21 + 12 + 7x + -6x

Combine like terms: 21 + 12 = 33
-6 + 2x = 33 + 7x + -6x

Combine like terms: 7x + -6x = 1x
-6 + 2x = 33 + 1x

Solving
-6 + 2x = 33 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 2x + -1x = 33 + 1x + -1x

Combine like terms: 2x + -1x = 1x
-6 + 1x = 33 + 1x + -1x

Combine like terms: 1x + -1x = 0
-6 + 1x = 33 + 0
-6 + 1x = 33

Add '6' to each side of the equation.
-6 + 6 + 1x = 33 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 33 + 6
1x = 33 + 6

Combine like terms: 33 + 6 = 39
1x = 39

Divide each side by '1'.
x = 39

Simplifying
x = 39

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