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

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


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

Reorder the terms:
-3(5 + x) + 2 = 4(x + 2)
(5 * -3 + x * -3) + 2 = 4(x + 2)
(-15 + -3x) + 2 = 4(x + 2)

Reorder the terms:
-15 + 2 + -3x = 4(x + 2)

Combine like terms: -15 + 2 = -13
-13 + -3x = 4(x + 2)

Reorder the terms:
-13 + -3x = 4(2 + x)
-13 + -3x = (2 * 4 + x * 4)
-13 + -3x = (8 + 4x)

Solving
-13 + -3x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-13 + -3x + -4x = 8 + 4x + -4x

Combine like terms: -3x + -4x = -7x
-13 + -7x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-13 + -7x = 8 + 0
-13 + -7x = 8

Add '13' to each side of the equation.
-13 + 13 + -7x = 8 + 13

Combine like terms: -13 + 13 = 0
0 + -7x = 8 + 13
-7x = 8 + 13

Combine like terms: 8 + 13 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

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