7x-3+7=3(x-4)+20

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Solution for 7x-3+7=3(x-4)+20 equation:


Simplifying
7x + -3 + 7 = 3(x + -4) + 20

Reorder the terms:
-3 + 7 + 7x = 3(x + -4) + 20

Combine like terms: -3 + 7 = 4
4 + 7x = 3(x + -4) + 20

Reorder the terms:
4 + 7x = 3(-4 + x) + 20
4 + 7x = (-4 * 3 + x * 3) + 20
4 + 7x = (-12 + 3x) + 20

Reorder the terms:
4 + 7x = -12 + 20 + 3x

Combine like terms: -12 + 20 = 8
4 + 7x = 8 + 3x

Solving
4 + 7x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 7x + -3x = 8 + 3x + -3x

Combine like terms: 7x + -3x = 4x
4 + 4x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 4x = 8 + 0
4 + 4x = 8

Add '-4' to each side of the equation.
4 + -4 + 4x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = 8 + -4
4x = 8 + -4

Combine like terms: 8 + -4 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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