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

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


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

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

Reorder the terms:
-15 + 7x + -6x = (3x + -4)

Combine like terms: 7x + -6x = 1x
-15 + 1x = (3x + -4)

Reorder the terms:
-15 + 1x = (-4 + 3x)

Remove parenthesis around (-4 + 3x)
-15 + 1x = -4 + 3x

Solving
-15 + 1x = -4 + 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.
-15 + 1x + -3x = -4 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-15 + -2x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + -2x = -4 + 0
-15 + -2x = -4

Add '15' to each side of the equation.
-15 + 15 + -2x = -4 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = -4 + 15
-2x = -4 + 15

Combine like terms: -4 + 15 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5

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