5-3x=7(x-1)

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Solution for 5-3x=7(x-1) equation:


Simplifying
5 + -3x = 7(x + -1)

Reorder the terms:
5 + -3x = 7(-1 + x)
5 + -3x = (-1 * 7 + x * 7)
5 + -3x = (-7 + 7x)

Solving
5 + -3x = -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.
5 + -3x + -7x = -7 + 7x + -7x

Combine like terms: -3x + -7x = -10x
5 + -10x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -10x = -7 + 0
5 + -10x = -7

Add '-5' to each side of the equation.
5 + -5 + -10x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -10x = -7 + -5
-10x = -7 + -5

Combine like terms: -7 + -5 = -12
-10x = -12

Divide each side by '-10'.
x = 1.2

Simplifying
x = 1.2

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