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

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


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

Reorder the terms:
4(3 + x) + -7 = 5x + -1
(3 * 4 + x * 4) + -7 = 5x + -1
(12 + 4x) + -7 = 5x + -1

Reorder the terms:
12 + -7 + 4x = 5x + -1

Combine like terms: 12 + -7 = 5
5 + 4x = 5x + -1

Reorder the terms:
5 + 4x = -1 + 5x

Solving
5 + 4x = -1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
5 + 4x + -5x = -1 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
5 + -1x = -1 + 0
5 + -1x = -1

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

Combine like terms: 5 + -5 = 0
0 + -1x = -1 + -5
-1x = -1 + -5

Combine like terms: -1 + -5 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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