5(x-1)+4=3x-7

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Solution for 5(x-1)+4=3x-7 equation:


Simplifying
5(x + -1) + 4 = 3x + -7

Reorder the terms:
5(-1 + x) + 4 = 3x + -7
(-1 * 5 + x * 5) + 4 = 3x + -7
(-5 + 5x) + 4 = 3x + -7

Reorder the terms:
-5 + 4 + 5x = 3x + -7

Combine like terms: -5 + 4 = -1
-1 + 5x = 3x + -7

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

Solving
-1 + 5x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + 5x + -3x = -7 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-1 + 2x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + 2x = -7 + 0
-1 + 2x = -7

Add '1' to each side of the equation.
-1 + 1 + 2x = -7 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = -7 + 1
2x = -7 + 1

Combine like terms: -7 + 1 = -6
2x = -6

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

Simplifying
x = -3

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