2[3(4x-5)-4(3x-4)]=7x-54

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Solution for 2[3(4x-5)-4(3x-4)]=7x-54 equation: 


Simplifying
2[3(4x + -5) + -4(3x + -4)] = 7x + -54

Reorder the terms:
2[3(-5 + 4x) + -4(3x + -4)] = 7x + -54
2[(-5 * 3 + 4x * 3) + -4(3x + -4)] = 7x + -54
2[(-15 + 12x) + -4(3x + -4)] = 7x + -54

Reorder the terms:
2[-15 + 12x + -4(-4 + 3x)] = 7x + -54
2[-15 + 12x + (-4 * -4 + 3x * -4)] = 7x + -54
2[-15 + 12x + (16 + -12x)] = 7x + -54

Reorder the terms:
2[-15 + 16 + 12x + -12x] = 7x + -54

Combine like terms: -15 + 16 = 1
2[1 + 12x + -12x] = 7x + -54

Combine like terms: 12x + -12x = 0
2[1 + 0] = 7x + -54
2[1] = 7x + -54

Multiply 2 * 1
2 = 7x + -54

Reorder the terms:
2 = -54 + 7x

Solving
2 = -54 + 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.
2 + -7x = -54 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -7x = -54 + 0
2 + -7x = -54

Add '-2' to each side of the equation.
2 + -2 + -7x = -54 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = -54 + -2
-7x = -54 + -2

Combine like terms: -54 + -2 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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