6(x-7)-4(x+5)=1

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Solution for 6(x-7)-4(x+5)=1 equation:


Simplifying
6(x + -7) + -4(x + 5) = 1

Reorder the terms:
6(-7 + x) + -4(x + 5) = 1
(-7 * 6 + x * 6) + -4(x + 5) = 1
(-42 + 6x) + -4(x + 5) = 1

Reorder the terms:
-42 + 6x + -4(5 + x) = 1
-42 + 6x + (5 * -4 + x * -4) = 1
-42 + 6x + (-20 + -4x) = 1

Reorder the terms:
-42 + -20 + 6x + -4x = 1

Combine like terms: -42 + -20 = -62
-62 + 6x + -4x = 1

Combine like terms: 6x + -4x = 2x
-62 + 2x = 1

Solving
-62 + 2x = 1

Solving for variable 'x'.

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

Add '62' to each side of the equation.
-62 + 62 + 2x = 1 + 62

Combine like terms: -62 + 62 = 0
0 + 2x = 1 + 62
2x = 1 + 62

Combine like terms: 1 + 62 = 63
2x = 63

Divide each side by '2'.
x = 31.5

Simplifying
x = 31.5

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