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

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


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

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

Reorder the terms:
-21 + 14x + -5(-3 + 2x) = 2(x + 3)
-21 + 14x + (-3 * -5 + 2x * -5) = 2(x + 3)
-21 + 14x + (15 + -10x) = 2(x + 3)

Reorder the terms:
-21 + 15 + 14x + -10x = 2(x + 3)

Combine like terms: -21 + 15 = -6
-6 + 14x + -10x = 2(x + 3)

Combine like terms: 14x + -10x = 4x
-6 + 4x = 2(x + 3)

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

Solving
-6 + 4x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 4x + -2x = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-6 + 2x = 6 + 0
-6 + 2x = 6

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

Combine like terms: -6 + 6 = 0
0 + 2x = 6 + 6
2x = 6 + 6

Combine like terms: 6 + 6 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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