7(x-1)=4(x-2)

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Solution for 7(x-1)=4(x-2) equation:


Simplifying
7(x + -1) = 4(x + -2)

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

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

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

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

Combine like terms: 4x + -4x = 0
-7 + 3x = -8 + 0
-7 + 3x = -8

Add '7' to each side of the equation.
-7 + 7 + 3x = -8 + 7

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

Combine like terms: -8 + 7 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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