4(x-1)+3(x-1)=7

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Solution for 4(x-1)+3(x-1)=7 equation:


Simplifying
4(x + -1) + 3(x + -1) = 7

Reorder the terms:
4(-1 + x) + 3(x + -1) = 7
(-1 * 4 + x * 4) + 3(x + -1) = 7
(-4 + 4x) + 3(x + -1) = 7

Reorder the terms:
-4 + 4x + 3(-1 + x) = 7
-4 + 4x + (-1 * 3 + x * 3) = 7
-4 + 4x + (-3 + 3x) = 7

Reorder the terms:
-4 + -3 + 4x + 3x = 7

Combine like terms: -4 + -3 = -7
-7 + 4x + 3x = 7

Combine like terms: 4x + 3x = 7x
-7 + 7x = 7

Solving
-7 + 7x = 7

Solving for variable 'x'.

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

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

Combine like terms: -7 + 7 = 0
0 + 7x = 7 + 7
7x = 7 + 7

Combine like terms: 7 + 7 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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