2(x-2)+14=10x+5-4x

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Solution for 2(x-2)+14=10x+5-4x equation:


Simplifying
2(x + -2) + 14 = 10x + 5 + -4x

Reorder the terms:
2(-2 + x) + 14 = 10x + 5 + -4x
(-2 * 2 + x * 2) + 14 = 10x + 5 + -4x
(-4 + 2x) + 14 = 10x + 5 + -4x

Reorder the terms:
-4 + 14 + 2x = 10x + 5 + -4x

Combine like terms: -4 + 14 = 10
10 + 2x = 10x + 5 + -4x

Reorder the terms:
10 + 2x = 5 + 10x + -4x

Combine like terms: 10x + -4x = 6x
10 + 2x = 5 + 6x

Solving
10 + 2x = 5 + 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.
10 + 2x + -6x = 5 + 6x + -6x

Combine like terms: 2x + -6x = -4x
10 + -4x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -4x = 5 + 0
10 + -4x = 5

Add '-10' to each side of the equation.
10 + -10 + -4x = 5 + -10

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

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

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

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