2(x-5)-6(x-7)=29

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Solution for 2(x-5)-6(x-7)=29 equation:


Simplifying
2(x + -5) + -6(x + -7) = 29

Reorder the terms:
2(-5 + x) + -6(x + -7) = 29
(-5 * 2 + x * 2) + -6(x + -7) = 29
(-10 + 2x) + -6(x + -7) = 29

Reorder the terms:
-10 + 2x + -6(-7 + x) = 29
-10 + 2x + (-7 * -6 + x * -6) = 29
-10 + 2x + (42 + -6x) = 29

Reorder the terms:
-10 + 42 + 2x + -6x = 29

Combine like terms: -10 + 42 = 32
32 + 2x + -6x = 29

Combine like terms: 2x + -6x = -4x
32 + -4x = 29

Solving
32 + -4x = 29

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + -4x = 29 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = 29 + -32
-4x = 29 + -32

Combine like terms: 29 + -32 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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