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

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


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

Reorder the terms:
4(2 + x) = 3(x + -7)
(2 * 4 + x * 4) = 3(x + -7)
(8 + 4x) = 3(x + -7)

Reorder the terms:
8 + 4x = 3(-7 + x)
8 + 4x = (-7 * 3 + x * 3)
8 + 4x = (-21 + 3x)

Solving
8 + 4x = -21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + 4x + -3x = -21 + 3x + -3x

Combine like terms: 4x + -3x = 1x
8 + 1x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 1x = -21 + 0
8 + 1x = -21

Add '-8' to each side of the equation.
8 + -8 + 1x = -21 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = -21 + -8
1x = -21 + -8

Combine like terms: -21 + -8 = -29
1x = -29

Divide each side by '1'.
x = -29

Simplifying
x = -29

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