7(x-5)-3=4x-35

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Solution for 7(x-5)-3=4x-35 equation:


Simplifying
7(x + -5) + -3 = 4x + -35

Reorder the terms:
7(-5 + x) + -3 = 4x + -35
(-5 * 7 + x * 7) + -3 = 4x + -35
(-35 + 7x) + -3 = 4x + -35

Reorder the terms:
-35 + -3 + 7x = 4x + -35

Combine like terms: -35 + -3 = -38
-38 + 7x = 4x + -35

Reorder the terms:
-38 + 7x = -35 + 4x

Solving
-38 + 7x = -35 + 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.
-38 + 7x + -4x = -35 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-38 + 3x = -35 + 4x + -4x

Combine like terms: 4x + -4x = 0
-38 + 3x = -35 + 0
-38 + 3x = -35

Add '38' to each side of the equation.
-38 + 38 + 3x = -35 + 38

Combine like terms: -38 + 38 = 0
0 + 3x = -35 + 38
3x = -35 + 38

Combine like terms: -35 + 38 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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