4(x-2)=7(x-2)

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


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

Reorder the terms:
4(-2 + x) = 7(x + -2)
(-2 * 4 + x * 4) = 7(x + -2)
(-8 + 4x) = 7(x + -2)

Reorder the terms:
-8 + 4x = 7(-2 + x)
-8 + 4x = (-2 * 7 + x * 7)
-8 + 4x = (-14 + 7x)

Solving
-8 + 4x = -14 + 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.
-8 + 4x + -7x = -14 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-8 + -3x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + -3x = -14 + 0
-8 + -3x = -14

Add '8' to each side of the equation.
-8 + 8 + -3x = -14 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = -14 + 8
-3x = -14 + 8

Combine like terms: -14 + 8 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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