10x-5=4x+2(x-7)

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Solution for 10x-5=4x+2(x-7) equation:


Simplifying
10x + -5 = 4x + 2(x + -7)

Reorder the terms:
-5 + 10x = 4x + 2(x + -7)

Reorder the terms:
-5 + 10x = 4x + 2(-7 + x)
-5 + 10x = 4x + (-7 * 2 + x * 2)
-5 + 10x = 4x + (-14 + 2x)

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

Combine like terms: 4x + 2x = 6x
-5 + 10x = -14 + 6x

Solving
-5 + 10x = -14 + 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.
-5 + 10x + -6x = -14 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-5 + 4x = -14 + 0
-5 + 4x = -14

Add '5' to each side of the equation.
-5 + 5 + 4x = -14 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = -14 + 5
4x = -14 + 5

Combine like terms: -14 + 5 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25

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