14(2x+10)=2(5x-13)

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Solution for 14(2x+10)=2(5x-13) equation: 


Simplifying
14(2x + 10) = 2(5x + -13)

Reorder the terms:
14(10 + 2x) = 2(5x + -13)
(10 * 14 + 2x * 14) = 2(5x + -13)
(140 + 28x) = 2(5x + -13)

Reorder the terms:
140 + 28x = 2(-13 + 5x)
140 + 28x = (-13 * 2 + 5x * 2)
140 + 28x = (-26 + 10x)

Solving
140 + 28x = -26 + 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.
140 + 28x + -10x = -26 + 10x + -10x

Combine like terms: 28x + -10x = 18x
140 + 18x = -26 + 10x + -10x

Combine like terms: 10x + -10x = 0
140 + 18x = -26 + 0
140 + 18x = -26

Add '-140' to each side of the equation.
140 + -140 + 18x = -26 + -140

Combine like terms: 140 + -140 = 0
0 + 18x = -26 + -140
18x = -26 + -140

Combine like terms: -26 + -140 = -166
18x = -166

Divide each side by '18'.
x = -9.222222222

Simplifying
x = -9.222222222

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