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

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


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

Reorder the terms:
-4(4 + x) + 3 = 6(x + 4) + 7
(4 * -4 + x * -4) + 3 = 6(x + 4) + 7
(-16 + -4x) + 3 = 6(x + 4) + 7

Reorder the terms:
-16 + 3 + -4x = 6(x + 4) + 7

Combine like terms: -16 + 3 = -13
-13 + -4x = 6(x + 4) + 7

Reorder the terms:
-13 + -4x = 6(4 + x) + 7
-13 + -4x = (4 * 6 + x * 6) + 7
-13 + -4x = (24 + 6x) + 7

Reorder the terms:
-13 + -4x = 24 + 7 + 6x

Combine like terms: 24 + 7 = 31
-13 + -4x = 31 + 6x

Solving
-13 + -4x = 31 + 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.
-13 + -4x + -6x = 31 + 6x + -6x

Combine like terms: -4x + -6x = -10x
-13 + -10x = 31 + 6x + -6x

Combine like terms: 6x + -6x = 0
-13 + -10x = 31 + 0
-13 + -10x = 31

Add '13' to each side of the equation.
-13 + 13 + -10x = 31 + 13

Combine like terms: -13 + 13 = 0
0 + -10x = 31 + 13
-10x = 31 + 13

Combine like terms: 31 + 13 = 44
-10x = 44

Divide each side by '-10'.
x = -4.4

Simplifying
x = -4.4

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