4(4x+3)-36=13x-3

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Solution for 4(4x+3)-36=13x-3 equation:


Simplifying
4(4x + 3) + -36 = 13x + -3

Reorder the terms:
4(3 + 4x) + -36 = 13x + -3
(3 * 4 + 4x * 4) + -36 = 13x + -3
(12 + 16x) + -36 = 13x + -3

Reorder the terms:
12 + -36 + 16x = 13x + -3

Combine like terms: 12 + -36 = -24
-24 + 16x = 13x + -3

Reorder the terms:
-24 + 16x = -3 + 13x

Solving
-24 + 16x = -3 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-24 + 16x + -13x = -3 + 13x + -13x

Combine like terms: 16x + -13x = 3x
-24 + 3x = -3 + 13x + -13x

Combine like terms: 13x + -13x = 0
-24 + 3x = -3 + 0
-24 + 3x = -3

Add '24' to each side of the equation.
-24 + 24 + 3x = -3 + 24

Combine like terms: -24 + 24 = 0
0 + 3x = -3 + 24
3x = -3 + 24

Combine like terms: -3 + 24 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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