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

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


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

Reorder the terms:
5(-3 + 2x) + -3(x + 4) = 7x + -1(2x + 3)
(-3 * 5 + 2x * 5) + -3(x + 4) = 7x + -1(2x + 3)
(-15 + 10x) + -3(x + 4) = 7x + -1(2x + 3)

Reorder the terms:
-15 + 10x + -3(4 + x) = 7x + -1(2x + 3)
-15 + 10x + (4 * -3 + x * -3) = 7x + -1(2x + 3)
-15 + 10x + (-12 + -3x) = 7x + -1(2x + 3)

Reorder the terms:
-15 + -12 + 10x + -3x = 7x + -1(2x + 3)

Combine like terms: -15 + -12 = -27
-27 + 10x + -3x = 7x + -1(2x + 3)

Combine like terms: 10x + -3x = 7x
-27 + 7x = 7x + -1(2x + 3)

Reorder the terms:
-27 + 7x = 7x + -1(3 + 2x)
-27 + 7x = 7x + (3 * -1 + 2x * -1)
-27 + 7x = 7x + (-3 + -2x)

Reorder the terms:
-27 + 7x = -3 + 7x + -2x

Combine like terms: 7x + -2x = 5x
-27 + 7x = -3 + 5x

Solving
-27 + 7x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-27 + 7x + -5x = -3 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-27 + 2x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-27 + 2x = -3 + 0
-27 + 2x = -3

Add '27' to each side of the equation.
-27 + 27 + 2x = -3 + 27

Combine like terms: -27 + 27 = 0
0 + 2x = -3 + 27
2x = -3 + 27

Combine like terms: -3 + 27 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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