-3(x+4)+4=7(x+2)+5

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Solution for -3(x+4)+4=7(x+2)+5 equation:


Simplifying
-3(x + 4) + 4 = 7(x + 2) + 5

Reorder the terms:
-3(4 + x) + 4 = 7(x + 2) + 5
(4 * -3 + x * -3) + 4 = 7(x + 2) + 5
(-12 + -3x) + 4 = 7(x + 2) + 5

Reorder the terms:
-12 + 4 + -3x = 7(x + 2) + 5

Combine like terms: -12 + 4 = -8
-8 + -3x = 7(x + 2) + 5

Reorder the terms:
-8 + -3x = 7(2 + x) + 5
-8 + -3x = (2 * 7 + x * 7) + 5
-8 + -3x = (14 + 7x) + 5

Reorder the terms:
-8 + -3x = 14 + 5 + 7x

Combine like terms: 14 + 5 = 19
-8 + -3x = 19 + 7x

Solving
-8 + -3x = 19 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-8 + -3x + -7x = 19 + 7x + -7x

Combine like terms: -3x + -7x = -10x
-8 + -10x = 19 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + -10x = 19 + 0
-8 + -10x = 19

Add '8' to each side of the equation.
-8 + 8 + -10x = 19 + 8

Combine like terms: -8 + 8 = 0
0 + -10x = 19 + 8
-10x = 19 + 8

Combine like terms: 19 + 8 = 27
-10x = 27

Divide each side by '-10'.
x = -2.7

Simplifying
x = -2.7

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