4(x+7)-3=7(x+5)-22

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Solution for 4(x+7)-3=7(x+5)-22 equation:


Simplifying
4(x + 7) + -3 = 7(x + 5) + -22

Reorder the terms:
4(7 + x) + -3 = 7(x + 5) + -22
(7 * 4 + x * 4) + -3 = 7(x + 5) + -22
(28 + 4x) + -3 = 7(x + 5) + -22

Reorder the terms:
28 + -3 + 4x = 7(x + 5) + -22

Combine like terms: 28 + -3 = 25
25 + 4x = 7(x + 5) + -22

Reorder the terms:
25 + 4x = 7(5 + x) + -22
25 + 4x = (5 * 7 + x * 7) + -22
25 + 4x = (35 + 7x) + -22

Reorder the terms:
25 + 4x = 35 + -22 + 7x

Combine like terms: 35 + -22 = 13
25 + 4x = 13 + 7x

Solving
25 + 4x = 13 + 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.
25 + 4x + -7x = 13 + 7x + -7x

Combine like terms: 4x + -7x = -3x
25 + -3x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
25 + -3x = 13 + 0
25 + -3x = 13

Add '-25' to each side of the equation.
25 + -25 + -3x = 13 + -25

Combine like terms: 25 + -25 = 0
0 + -3x = 13 + -25
-3x = 13 + -25

Combine like terms: 13 + -25 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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