4(x+12)-3=6(x+1)+7

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Solution for 4(x+12)-3=6(x+1)+7 equation:


Simplifying
4(x + 12) + -3 = 6(x + 1) + 7

Reorder the terms:
4(12 + x) + -3 = 6(x + 1) + 7
(12 * 4 + x * 4) + -3 = 6(x + 1) + 7
(48 + 4x) + -3 = 6(x + 1) + 7

Reorder the terms:
48 + -3 + 4x = 6(x + 1) + 7

Combine like terms: 48 + -3 = 45
45 + 4x = 6(x + 1) + 7

Reorder the terms:
45 + 4x = 6(1 + x) + 7
45 + 4x = (1 * 6 + x * 6) + 7
45 + 4x = (6 + 6x) + 7

Reorder the terms:
45 + 4x = 6 + 7 + 6x

Combine like terms: 6 + 7 = 13
45 + 4x = 13 + 6x

Solving
45 + 4x = 13 + 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.
45 + 4x + -6x = 13 + 6x + -6x

Combine like terms: 4x + -6x = -2x
45 + -2x = 13 + 6x + -6x

Combine like terms: 6x + -6x = 0
45 + -2x = 13 + 0
45 + -2x = 13

Add '-45' to each side of the equation.
45 + -45 + -2x = 13 + -45

Combine like terms: 45 + -45 = 0
0 + -2x = 13 + -45
-2x = 13 + -45

Combine like terms: 13 + -45 = -32
-2x = -32

Divide each side by '-2'.
x = 16

Simplifying
x = 16

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