2(x+50)-6=4(3x+20)

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Solution for 2(x+50)-6=4(3x+20) equation: 


Simplifying
2(x + 50) + -6 = 4(3x + 20)

Reorder the terms:
2(50 + x) + -6 = 4(3x + 20)
(50 * 2 + x * 2) + -6 = 4(3x + 20)
(100 + 2x) + -6 = 4(3x + 20)

Reorder the terms:
100 + -6 + 2x = 4(3x + 20)

Combine like terms: 100 + -6 = 94
94 + 2x = 4(3x + 20)

Reorder the terms:
94 + 2x = 4(20 + 3x)
94 + 2x = (20 * 4 + 3x * 4)
94 + 2x = (80 + 12x)

Solving
94 + 2x = 80 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
94 + 2x + -12x = 80 + 12x + -12x

Combine like terms: 2x + -12x = -10x
94 + -10x = 80 + 12x + -12x

Combine like terms: 12x + -12x = 0
94 + -10x = 80 + 0
94 + -10x = 80

Add '-94' to each side of the equation.
94 + -94 + -10x = 80 + -94

Combine like terms: 94 + -94 = 0
0 + -10x = 80 + -94
-10x = 80 + -94

Combine like terms: 80 + -94 = -14
-10x = -14

Divide each side by '-10'.
x = 1.4

Simplifying
x = 1.4

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