2x+5(7-2x)=2(1-3x)

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Solution for 2x+5(7-2x)=2(1-3x) equation:


Simplifying
2x + 5(7 + -2x) = 2(1 + -3x)
2x + (7 * 5 + -2x * 5) = 2(1 + -3x)
2x + (35 + -10x) = 2(1 + -3x)

Reorder the terms:
35 + 2x + -10x = 2(1 + -3x)

Combine like terms: 2x + -10x = -8x
35 + -8x = 2(1 + -3x)
35 + -8x = (1 * 2 + -3x * 2)
35 + -8x = (2 + -6x)

Solving
35 + -8x = 2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
35 + -8x + 6x = 2 + -6x + 6x

Combine like terms: -8x + 6x = -2x
35 + -2x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
35 + -2x = 2 + 0
35 + -2x = 2

Add '-35' to each side of the equation.
35 + -35 + -2x = 2 + -35

Combine like terms: 35 + -35 = 0
0 + -2x = 2 + -35
-2x = 2 + -35

Combine like terms: 2 + -35 = -33
-2x = -33

Divide each side by '-2'.
x = 16.5

Simplifying
x = 16.5

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