4-3x=7(x-7)

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


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

Reorder the terms:
4 + -3x = 7(-7 + x)
4 + -3x = (-7 * 7 + x * 7)
4 + -3x = (-49 + 7x)

Solving
4 + -3x = -49 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
4 + -3x + -7x = -49 + 7x + -7x

Combine like terms: -3x + -7x = -10x
4 + -10x = -49 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -10x = -49 + 0
4 + -10x = -49

Add '-4' to each side of the equation.
4 + -4 + -10x = -49 + -4

Combine like terms: 4 + -4 = 0
0 + -10x = -49 + -4
-10x = -49 + -4

Combine like terms: -49 + -4 = -53
-10x = -53

Divide each side by '-10'.
x = 5.3

Simplifying
x = 5.3

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