(x*2+2x-5)-(3x*2-4x+7)=0

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Solution for (x*2+2x-5)-(3x*2-4x+7)=0 equation:


Simplifying
(x * 2 + 2x + -5) + -1(3x * 2 + -4x + 7) = 0

Reorder the terms for easier multiplication:
(2x + 2x + -5) + -1(3x * 2 + -4x + 7) = 0

Reorder the terms:
(-5 + 2x + 2x) + -1(3x * 2 + -4x + 7) = 0

Combine like terms: 2x + 2x = 4x
(-5 + 4x) + -1(3x * 2 + -4x + 7) = 0

Remove parenthesis around (-5 + 4x)
-5 + 4x + -1(3x * 2 + -4x + 7) = 0

Reorder the terms for easier multiplication:
-5 + 4x + -1(3 * 2x + -4x + 7) = 0

Multiply 3 * 2
-5 + 4x + -1(6x + -4x + 7) = 0

Reorder the terms:
-5 + 4x + -1(7 + 6x + -4x) = 0

Combine like terms: 6x + -4x = 2x
-5 + 4x + -1(7 + 2x) = 0
-5 + 4x + (7 * -1 + 2x * -1) = 0
-5 + 4x + (-7 + -2x) = 0

Reorder the terms:
-5 + -7 + 4x + -2x = 0

Combine like terms: -5 + -7 = -12
-12 + 4x + -2x = 0

Combine like terms: 4x + -2x = 2x
-12 + 2x = 0

Solving
-12 + 2x = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 2x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 0 + 12
2x = 0 + 12

Combine like terms: 0 + 12 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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