-4x+36=3(x-2)-4

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Solution for -4x+36=3(x-2)-4 equation:


Simplifying
-4x + 36 = 3(x + -2) + -4

Reorder the terms:
36 + -4x = 3(x + -2) + -4

Reorder the terms:
36 + -4x = 3(-2 + x) + -4
36 + -4x = (-2 * 3 + x * 3) + -4
36 + -4x = (-6 + 3x) + -4

Reorder the terms:
36 + -4x = -6 + -4 + 3x

Combine like terms: -6 + -4 = -10
36 + -4x = -10 + 3x

Solving
36 + -4x = -10 + 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.
36 + -4x + -3x = -10 + 3x + -3x

Combine like terms: -4x + -3x = -7x
36 + -7x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + -7x = -10 + 0
36 + -7x = -10

Add '-36' to each side of the equation.
36 + -36 + -7x = -10 + -36

Combine like terms: 36 + -36 = 0
0 + -7x = -10 + -36
-7x = -10 + -36

Combine like terms: -10 + -36 = -46
-7x = -46

Divide each side by '-7'.
x = 6.571428571

Simplifying
x = 6.571428571

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