2(7x+40)=4x-6(2-x)+7

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Solution for 2(7x+40)=4x-6(2-x)+7 equation:


Simplifying
2(7x + 40) = 4x + -6(2 + -1x) + 7

Reorder the terms:
2(40 + 7x) = 4x + -6(2 + -1x) + 7
(40 * 2 + 7x * 2) = 4x + -6(2 + -1x) + 7
(80 + 14x) = 4x + -6(2 + -1x) + 7
80 + 14x = 4x + (2 * -6 + -1x * -6) + 7
80 + 14x = 4x + (-12 + 6x) + 7

Reorder the terms:
80 + 14x = -12 + 7 + 4x + 6x

Combine like terms: -12 + 7 = -5
80 + 14x = -5 + 4x + 6x

Combine like terms: 4x + 6x = 10x
80 + 14x = -5 + 10x

Solving
80 + 14x = -5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
80 + 14x + -10x = -5 + 10x + -10x

Combine like terms: 14x + -10x = 4x
80 + 4x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
80 + 4x = -5 + 0
80 + 4x = -5

Add '-80' to each side of the equation.
80 + -80 + 4x = -5 + -80

Combine like terms: 80 + -80 = 0
0 + 4x = -5 + -80
4x = -5 + -80

Combine like terms: -5 + -80 = -85
4x = -85

Divide each side by '4'.
x = -21.25

Simplifying
x = -21.25

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