4(x+4)+3=6x+4(x+3)

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Solution for 4(x+4)+3=6x+4(x+3) equation:


Simplifying
4(x + 4) + 3 = 6x + 4(x + 3)

Reorder the terms:
4(4 + x) + 3 = 6x + 4(x + 3)
(4 * 4 + x * 4) + 3 = 6x + 4(x + 3)
(16 + 4x) + 3 = 6x + 4(x + 3)

Reorder the terms:
16 + 3 + 4x = 6x + 4(x + 3)

Combine like terms: 16 + 3 = 19
19 + 4x = 6x + 4(x + 3)

Reorder the terms:
19 + 4x = 6x + 4(3 + x)
19 + 4x = 6x + (3 * 4 + x * 4)
19 + 4x = 6x + (12 + 4x)

Reorder the terms:
19 + 4x = 12 + 6x + 4x

Combine like terms: 6x + 4x = 10x
19 + 4x = 12 + 10x

Solving
19 + 4x = 12 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
19 + 4x + -10x = 12 + 10x + -10x

Combine like terms: 4x + -10x = -6x
19 + -6x = 12 + 10x + -10x

Combine like terms: 10x + -10x = 0
19 + -6x = 12 + 0
19 + -6x = 12

Add '-19' to each side of the equation.
19 + -19 + -6x = 12 + -19

Combine like terms: 19 + -19 = 0
0 + -6x = 12 + -19
-6x = 12 + -19

Combine like terms: 12 + -19 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667

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