2(2x+5)+4(3x-2)=100

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Solution for 2(2x+5)+4(3x-2)=100 equation: 


Simplifying
2(2x + 5) + 4(3x + -2) = 100

Reorder the terms:
2(5 + 2x) + 4(3x + -2) = 100
(5 * 2 + 2x * 2) + 4(3x + -2) = 100
(10 + 4x) + 4(3x + -2) = 100

Reorder the terms:
10 + 4x + 4(-2 + 3x) = 100
10 + 4x + (-2 * 4 + 3x * 4) = 100
10 + 4x + (-8 + 12x) = 100

Reorder the terms:
10 + -8 + 4x + 12x = 100

Combine like terms: 10 + -8 = 2
2 + 4x + 12x = 100

Combine like terms: 4x + 12x = 16x
2 + 16x = 100

Solving
2 + 16x = 100

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 16x = 100 + -2

Combine like terms: 2 + -2 = 0
0 + 16x = 100 + -2
16x = 100 + -2

Combine like terms: 100 + -2 = 98
16x = 98

Divide each side by '16'.
x = 6.125

Simplifying
x = 6.125

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