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

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


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

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

Combine like terms: 4 + -10 = -6
-6 + 5x = 6 + 7(x + -2)

Reorder the terms:
-6 + 5x = 6 + 7(-2 + x)
-6 + 5x = 6 + (-2 * 7 + x * 7)
-6 + 5x = 6 + (-14 + 7x)

Combine like terms: 6 + -14 = -8
-6 + 5x = -8 + 7x

Solving
-6 + 5x = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-6 + 5x + -7x = -8 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-6 + -2x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -2x = -8 + 0
-6 + -2x = -8

Add '6' to each side of the equation.
-6 + 6 + -2x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -8 + 6
-2x = -8 + 6

Combine like terms: -8 + 6 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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