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

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


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

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

Reorder the terms:
-7 + -7 + 7x = -4(x + -1) + 7

Combine like terms: -7 + -7 = -14
-14 + 7x = -4(x + -1) + 7

Reorder the terms:
-14 + 7x = -4(-1 + x) + 7
-14 + 7x = (-1 * -4 + x * -4) + 7
-14 + 7x = (4 + -4x) + 7

Reorder the terms:
-14 + 7x = 4 + 7 + -4x

Combine like terms: 4 + 7 = 11
-14 + 7x = 11 + -4x

Solving
-14 + 7x = 11 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-14 + 7x + 4x = 11 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-14 + 11x = 11 + -4x + 4x

Combine like terms: -4x + 4x = 0
-14 + 11x = 11 + 0
-14 + 11x = 11

Add '14' to each side of the equation.
-14 + 14 + 11x = 11 + 14

Combine like terms: -14 + 14 = 0
0 + 11x = 11 + 14
11x = 11 + 14

Combine like terms: 11 + 14 = 25
11x = 25

Divide each side by '11'.
x = 2.272727273

Simplifying
x = 2.272727273

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