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

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


Simplifying
5(2x + -3) + -4x = 6(x + 2) + -1(2x + -7)

Reorder the terms:
5(-3 + 2x) + -4x = 6(x + 2) + -1(2x + -7)
(-3 * 5 + 2x * 5) + -4x = 6(x + 2) + -1(2x + -7)
(-15 + 10x) + -4x = 6(x + 2) + -1(2x + -7)

Combine like terms: 10x + -4x = 6x
-15 + 6x = 6(x + 2) + -1(2x + -7)

Reorder the terms:
-15 + 6x = 6(2 + x) + -1(2x + -7)
-15 + 6x = (2 * 6 + x * 6) + -1(2x + -7)
-15 + 6x = (12 + 6x) + -1(2x + -7)

Reorder the terms:
-15 + 6x = 12 + 6x + -1(-7 + 2x)
-15 + 6x = 12 + 6x + (-7 * -1 + 2x * -1)
-15 + 6x = 12 + 6x + (7 + -2x)

Reorder the terms:
-15 + 6x = 12 + 7 + 6x + -2x

Combine like terms: 12 + 7 = 19
-15 + 6x = 19 + 6x + -2x

Combine like terms: 6x + -2x = 4x
-15 + 6x = 19 + 4x

Solving
-15 + 6x = 19 + 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.
-15 + 6x + -4x = 19 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-15 + 2x = 19 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 2x = 19 + 0
-15 + 2x = 19

Add '15' to each side of the equation.
-15 + 15 + 2x = 19 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 19 + 15
2x = 19 + 15

Combine like terms: 19 + 15 = 34
2x = 34

Divide each side by '2'.
x = 17

Simplifying
x = 17

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