4x-2+5x=7(x-1)

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Solution for 4x-2+5x=7(x-1) equation:


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

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

Combine like terms: 4x + 5x = 9x
-2 + 9x = 7(x + -1)

Reorder the terms:
-2 + 9x = 7(-1 + x)
-2 + 9x = (-1 * 7 + x * 7)
-2 + 9x = (-7 + 7x)

Solving
-2 + 9x = -7 + 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.
-2 + 9x + -7x = -7 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-2 + 2x = -7 + 7x + -7x

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

Add '2' to each side of the equation.
-2 + 2 + 2x = -7 + 2

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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