4(1x+3)-7=6x-21

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Solution for 4(1x+3)-7=6x-21 equation:


Simplifying
4(1x + 3) + -7 = 6x + -21

Reorder the terms:
4(3 + 1x) + -7 = 6x + -21
(3 * 4 + 1x * 4) + -7 = 6x + -21
(12 + 4x) + -7 = 6x + -21

Reorder the terms:
12 + -7 + 4x = 6x + -21

Combine like terms: 12 + -7 = 5
5 + 4x = 6x + -21

Reorder the terms:
5 + 4x = -21 + 6x

Solving
5 + 4x = -21 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 4x + -6x = -21 + 6x + -6x

Combine like terms: 4x + -6x = -2x
5 + -2x = -21 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -2x = -21 + 0
5 + -2x = -21

Add '-5' to each side of the equation.
5 + -5 + -2x = -21 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -21 + -5
-2x = -21 + -5

Combine like terms: -21 + -5 = -26
-2x = -26

Divide each side by '-2'.
x = 13

Simplifying
x = 13

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